These are some articles by John C. Baez at UC Riverside (baez@math.ucr.edu). They are obtainable by anonymous ftp from math.ucr.edu, and are in the directory "baez." For the amateur: to do this type "ftp math.ucr.edu." When the FTP server asks for your name type "anonymous," and when it asks for your password type "ident". Then type "cd baez" to get into the correct directory. Then type "get X" to get the file named X. You can type "ls" to list the contents of the directory, which are also listed below. Here's what there is: ---------------------------------------------------------------------------- Popularizations: braids.tex - a LaTeX file containing lectures on knot polynomials, braids, anyons, r-commutative geometry, and lots of other neat things. braids.ascii - an ASCII version of the same thing. categories - a sketch of category theory and how it relates to quantization. crackpot - the "crackpot index" for physicists. lengths - a tour of 4 basic length scales in physics. penrose - summary of a chat with Penrose. preprint.info - information on how to get started with hep-th and gr-qc. six - a tour of some amazing properties of the group of permutations of 6 elements, and its relation to the icosahedron. spin.stat - a sketch of the proof of the spin-statistics theorem. symmetries - an account of the appearance of symmetry groups in physics tangles - a primer on the category of tangles. ----------------------------------------------------------------- Serious Stuff: ca.tex - a LaTeX file of the paper, "An algebraic approach to discrete mechanics." conn.tex - a LaTeX file of the paper, "Generalized measures in gauge theory." state.tex - a LaTeX file of the paper, "Diffeomorphism-invariant generalized measures on the space of connections modulo gauge transformations." string.tex - a LaTeX file of the paper, "Strings, loops, knots and gauge fields." vas.tex - a LaTeX file of the paper, "Link invariants of finite type and perturbation theory." tang.tex - a LaTeX file of the paper, "Quantum gravity and the algebra of tangles." --------------------------------------------------------------------- "This Week's Finds in Mathematical Physics" These describe papers or book I happened to find enjoyable, especially ones that have not yet been published. week 1) Syzygies among elementary string interactions in 2+1 dimensions, by J. Scott Carter and Masahico Saito, Lett. Math. Phys. 23 (1991), 287-300. On formulations and solutions of simplex equations, by J. Scott Carter and Masahico Saito, preprint. (Carter is at F4T3%USOUTHAL.bitnet@VM.TCS.Tulane.EDU.) A diagrammatic theory of knotted surfaces, by J. Scott Carter and Masahico Saito, preprint. Reidemeister moves for surface isotopies and their interpretations as moves to movies, by J. Scott Carter and Masahico Saito, preprint. 2) Knot theory and quantum gravity in loop space: a primer, by Jorge Pullin, to appear in "Proc. of the Vth Mexican School of Particles and Fields," ed. J. L. Lucio, World Scientific, Singapore, now available as hep-th/9301028. 3) Time, measurement and information loss in quantum cosmology, by Lee Smolin, preprint now available as gr-qc/9301016. week2 1) Link invariants for intersecting loops, by Daniel Armand Ugon, Rodolfo Gambini, and Pablo Mora, October 1992 preprint, available from Gambini, Instituto de Fi'sica, Facultad de Ciencias, Trista'n Narvaja 1674, Montevideo, Uruguay. 2) New points of view in knot theory, by Joan Birman, preprint, to appear in the Bulletin of the AMS. 3) Link polynomials and a graphical calculus, by Louis Kauffman and P. Vogel, Jour. of Knot Theory and its Ramifications, 1 (1992), 59-104. 4) Categorical physics, by Louis Crane, preprint available as hep-th/9301061 in amstex. A Categorical construction of 4d topological quantum field theories, by Louis Crane and David Yetter, preprint available as hep-th/9301062 in latex. Hopf Categories and their representations, Louis Crane and Igor Frenkel, draft version. Categorification and the construction of topological quantum field theory, Louis Crane and Igor Frenkel, draft version. 5) The origin of time asymmetry, by S W Hawking, R Laflamme and G W Lyons, preprint available as gr-qc/9301017, in tex. week3 1) On the Vassiliev Knot Invariants by Dror Bar-Natan, Harvard University ``pre-preprint.'' 2) Mathematical problems of non-perturbative quantum general relativity, by Abhay Ashtekar, lectures delivered at the 1992 Les Houches summer school on Gravitation and Quantization, December 2, 1992, available as Syracuse University physics preprint SU-GP-92/11-2. week4 1) Self-organized criticality in Monte Carlo simulated ecosystems, by R. Sole, D. Lopez, M. Ginovart and J. Valls, Phys. Lett. A172 (1992), p. 56. 2) There are no quantum jumps, nor are there particles!, by H. D. Zeh, Phys. Lett. A173, p. 189 3) Braided monoidal 2-categories, 2-vector spaces and Zamolodchikov tetrahedra equations, by M. M. Kapranov and V. A. Voevodsky. Preliminary incomplete version, September 1991. (Kapranov is at kapranov@chow.math.nwu.edu, and Voevodsky is at vladimir@math.ias.edu.) week5 1) Indecomposable restricted representations of quantum sl_2, Vyjanathi Chari and Alexander Premet, University of California at Riverside preprint. 2) Representations of the quantized function algebras, 2-categories and Zamolodchikov tetrahedra equations, by David Kazhdan and Iakov Soibelman, Harvard University preprint. 3) A note on simplicial dimension shifting, Adrian Ocneanu, preprint, available in AMSLaTeX as hep-th/9302028. 4) The new configuration space for gravity: the spectrum of the algebra of SL(2,C)-holonomy functionals, by Abhay Ashtekar and Jerzy Lewandowski, draft version. week6 1) Quantum cosmology, talk given at Texas/Pascos 1992 at Berkeley by Alexander Vilenkin, preprint available in TeX form as gr-qc/9302016 2) Finite, diffeomorphism invariant observables in quantum gravity, by Lee Smolin, preprint available in LaTeX form as gr-qc/9302011. week7 1) Mathematical problems of non-perturbative quantum general relativity (lectures delivered at the 1992 Les Houches summer school on Gravitation and Quantization), by Abhay Ashtekar, 87 pp, Plain TeX, available as gr-qc/9302024. 2) Lectures on Non-perturbative Canonical Gravity, by Abhay Ashtekar, World Scientific Press, 1991. (ISBN 981-02-0573-2 or for paperback, ISBN 981-02-0574-0. This can be ordered by calling World Scientific at 1-800-227-7562.) 3) We are not stuck with gluing, by David Yetter and Louis Crane, preprint available as hep-th/9302118 in latex form, 2 pages. 4) The initial value problem in light of Ashtekar's variables, by R. Capovilla, J. Dell and T. Jacobson, preprint available as gr-qc/9302020, 15 pages. 5) Combinatorial expression for universal Vassiliev link invariant, by Sergey Piunikhin, preprint available as hep-th/9302084 week8 1) Map coloring and the vector cross product, by Louis Kauffman, J. Comb. Theory B, 48 (1990) 45. Map coloring, 1-deformed spin networks, and Turaev-Viro invariants for 3-manifolds, by Louis Kauffman, Int. Jour. of Mod. Phys. B, 6 (1992) 1765 - 1794. An algebraic approach to the planar colouring problem, by Louis Kauffman and H. Saleur, Yale University preprint YCTP-P27-91, November 8, 1991. 2) Knots and physics, by Louis Kauffman, Proc. Symp. Appl. Math. 45 (1992), 131-246. Spin networks, topology and discrete physics, by Louis Kauffman, University of Illinois at Chicago preprint. Vassiliev invariants and the Jones polynomial, by Louis Kauffman, University of Illinois at Chicago preprint. Gauss codes and quantum groups, by Louis Kauffman, University of Illinois at Chicago preprint. Fermions and link invariants, by Louis Kauffman and H. Saleur, Yale University preprint YCTP-P21-91, July 5, 1991. State models for link polynomials, by Louis Kauffman, L'Enseignement Mathematique, 36 (1990), 1 - 37. The Conway polynomial in R^3 and in thickened surfaces: a new determinant formulation, by F. Jaeger, Louis Kauffman and H. Saleur, preprint. week9 1) Surgical invariants of four-manifolds, by Boguslaw Broda, preprint available as hep-th/9302092. 2) Minisuperspaces: symmetries and quantization, by Abhay Ashtekar, Ranjeet S. Tate and Claes Uggla Syracuse University preprint SU-GP-92/2-5, 14 pages, available in latex form as gr-qc/9302026 Minisuperspaces: observables and quantization, Abhay Ashtekar, Ranjeet S. Tate and Claes Uggla Syracuse University preprint SU-GP-92/2-6, 34 pages, available in latex form as gr-qc/9302027 3) Unique determination of an inner product by adjointness relations in the algebra of quantum observables, by Alan D. Rendall, Max-Planck-Institut fuer Astrophysik preprint, 10 pages, available as gr-qc/9303026. 4) Thawing the frozen formalism: the difference between observables and what we observe, by Arlen Anderson, preprint available in latex form as gr-qc/9211028. 5) The extended loop group: an infinite dimensional manifold associated with the loop space, by Cayetano Di Bartolo, Rodolfo Gambini and Jorge Griego, 42 pages, preprint available as gr-qc/9303010. week10 1) Beyond Einstein - is space loopy? by Marcia Bartusiak, Discover, April 1993. 2) Vassiliev invariants contain more information than all knot polynomials, by Sergey Piunikhin, preprint. (Piunikhin is at serguei@math.harvard.edu) Turaev-Viro and Kauffman-Lins invariants for 3-manifolds coincide, by Sergey Piunikhin, Journal of Knot Theory and its Ramifications, 1 (1992) 105 - 135. Different presentations of 3-manifold invariants arising in rational conformal field theory, by Sergey Piunikhin, preprint. Weights of Feynman diagrams, link polynomials and Vassiliev knot invariants, by Sergey Piunikhin, preprint. Reshetikhin-Turaev and Crane-Kohno-Kontsevich 3-manifold invariants coincide, by Sergey Piunikhin, preprint. 3) Bibliography of publications related to classical and quantum gravity in terms of the Ashtekar variables, by Bernd Bruegmann, 14 pages (LaTeX, 1 figure), available as gr-qc/9303015. 4) Surgical invariants of four-manifolds, by Boguslaw Broda, preprint available as hep-th/9302092. (Revisited - see "week9") week11 1) Unique determination of an inner product by adjointness relations in the algebra of quantum observables, by Alan D. Rendall, 10 pages, now available as gr-qc/9303026. 2) An algebraic approach to the quantization of constrained systems: finite dimensional examples, by Ranjeet S. Tate, Syracuse University physics department PhD dissertation, August 1992, SU-GP-92/8-1. (Tate is now at rstate@cosmic.physics.ucsb.edu, but please don't ask him for copies unless you're pretty serious, because it's big.) week12 1) Canonical quantum gravity, by Karel Kuchar, preprint in LaTeX form, 35 pages, available as gr-qc/9304012. 2) 2-categories and 2-knots, by John Fischer, preprint, last revised Feb. 6 1993. (Fischer is at fischer-john@math.yale.edu) 3) A new discretization of classical and quantum general relativity, by Mark Miller and Lee Smolin, 22 pages in LaTeX form, available as gr-qc/9304005. 4) Higher algebraic structures and quantization, by Dan Freed, preprint, December 18, 1992, available as hep-th/9212115. week13 1) Elliptic Curves by Anthony W. Knapp, Mathematical Notes, Princeton University Press, 1992. 2) Closed string field theory, strong homotopy Lie algebras and the operad actions of moduli spaces, by Jim Stasheff, preprint available as hep-th/9304061. 3) A geometrical presentation of the surface mapping class group and surgery, by Sergey Matveev and Michael Polyak, preprint. 4) Invariants of 3-manifolds and conformal field theories, by Micheal Polyak, preprint. week14 1) Skein theory and Turaev-Viro invariants, by Justin Roberts, Pembroke College preprint, April 14, 1993 (Roberts is at J.D.Roberts@pmms.cam.ac.uk) 2) The basis of the Ponzano-Regge-Turaev-Viro-Ooguri model is the loop representation basis, 16 pages in LaTeX, Friday April 30, available as hep-th/9304164. 3) Diffeomorphism-invariant generalized measures on the space of connections modulo gauge transformations, by John Baez, to appear in the proceedings of the Conference on Quantum Topology, Manhattan, Kansas, May 8, 1993, available as state.tex from pub/fycfung/baezpapers (and later in hep-th). 4) Completeness of Wilson loop functionals on the moduli space of SL(2,C) and SU(1,1)-connections, Abhay Ashtekar and Jerzy Lewandowski, Plain TeX, 7 pages, available as gr-qc/9304044. 5) An algebraic approach to the quantization of constrained systems: finite dimensional examples, by Ranjeet S. Tate, (Ph.D. Dissertation, Syracuse University), 124 pages, LaTeX (run thrice before printing), available as gr-qc/9304043. 6) SU(2) QCD in the path representation, by Rodolfo Gambini and Leonardo Setaro, LaTeX 37 pages (7 figures included), available as hep-lat/9305001. week15 1) Closed string field theory - an introduction, by Barton Zwiebach, preprint available as hep-th/9305026 (requires the phyzzx macros to print; these macros are also available from hep-th; see below). 2) Two-dimensional Yang-Mills theories are string theories, by S.G. Naculich, H.A. Riggs, and H.J. Schnitzer, 14 pages, preprint available in latex form as hep-th/9305097. week16 1) Structure of Topological Lattice Field Theories in Three Dimensions, by Stephen-wei Chung, Masafumi Fukuma and Alfred Shapere, preprint, available as hep-th/9305080 (make sure to get the pictures if possible)! 2) C. Bachas and P. M. S. Petropoulos, Comm. Math. Phys. 152 (1993) 191. 3) Lattice topological field theory in two-dimensions, by M. Fukuma, S. Hosono and H. Kawai, preprint available as hep-th/921254. 4) Six ways to quantize (2+1)-dimensional gravity, by Steven Carlip (carlip@nsfitp.itp.ucsb.edu), 21 pages, preprint available in LaTeX form as gr-qc/9305020. 5) An illustration of 2+1 gravity loop transform troubles, by Donald Marolf (MAROLF@SUHEP.PHY.SYR.EDU), 6 pages, preprint available in LaTeX form as gr-qc/9305015. 6) G. Ponzano and T. Regge: in Bloch, F. (ed.), Spectroscopic and Group Theoretical Methods in Physics, Amsterdam: North-Holland 1968. 7) E. Witten, Nucl. Phys. B311 (1988), 46. 8) State sum invariants of 3-manifolds and quantum 6j-symbols, by V. G. Turaev and O. Y. Viro, Topology 31 (1992), 865. 9) H. Ooguri, Mod. Phys. Lett. A7 (1992), 2799. 10) Actions for Gravity, with Generalizations: A Review, by Peter Peldan (tfepp@fy.chalmers.se), 61 pages, preprint available as gr-qc/9305011 week17 1) ``Theoretical Mathematics'': Toward a cultural synthesis of mathematics and theoretical physics, by Arthur Jaffe and Frank Quinn, to appear in the July 1993 Bulletin of the AMS (available by gopher at e-math.ams.com, but don't ask me how). 2) New Scientific Applications of Geometry and Topology, ed. DeWitt L. Sumner, Proc. Symp. Appl. Math. 45, published by the AMS. 3) Temperley-Lieb Recoupling Theory and Invariants of 3-Manifolds, by Louis Kauffman and Sostenes Lins, to be published by Princeton U. Press. 4) 12j-symbols and four-dimensional quantum gravity, by M. Carfora, M. Martellini (martellini@milano.infn.it), and A. Marzuoli, Dipartimento di Fisica, Universita di Roma "La Sapienza" preprint. 5) Selected topics in quantum groups, by Y. S. Soibelman (soibel@math.harvard.edu), Lectures for the European School of Group Theory, Harvard University preprint. 6) Braids and movies, by J. Scott Carter (carter@mathstat.usouthal.edu) and Masahico Saito, preprint. 7) Combinatorial Invariants from Four Dimensional Lattice Models: II, by Danny Birmingham and Mark Rakowski, preprint available in LaTeX form as hep-th/9305022. 8) A note on the four-dimensional Kirby calculus, by Boguslaw Broda, preprint, 5 pages in TeX available as hep-th/9305101. 9) Solutions to the Wheeler DeWitt Constraint of Canonical Gravity Coupled to Scalar Matter Fields, by H.-J. Matschull, preprint, 7 pages in LaTeX available as gr-qc/9305025. week18 1) Strings, loops, knots, and gauge fields, by John Baez, preprint available in LaTeX form as hep-th/9309067, 34 pages. week19 1) Evaluating the Crane-Yetter Invariant, by Louis Crane, Louis H. Kauffman, David N. Yetter, 4 pages, AMSTeX, preprint available as hep-th/9309063. 2) On the Classicality of Broda's SU(2) Invariants of 4-Manifolds, by Louis Crane, Louis H. Kauffman, David N. Yetter, 4 pages LaTeX version 2.09, preprint available as hep-th/9309102. 3) Exactly soluble diffeomorphism-invariant theories, by Gary Horowitz, Comm. Math. Phys., 125 (1989) 417-437. week20 1) Sphere Packings, Lattices and Groups, J. H. Conway and N. J. A. Sloane, second edition, Grundlehren der mathematischen Wissenschaften 290, Springer-Verlag, 1993. ISBN 0-387-97912-3. 2) Vertex Operator Algebras and the Monster, by Igor Frenkel, James Lepowsky, and Arne Meurman, Academic Press, 1988. week21 1) Knotted surfaces, braid movies, and beyond, by J. Scott Carter and M. Saito, to appear in Knots and Quantum Gravity, ed. John Baez, Oxford U. Press. 2) How Surfaces Intersect in Space: An Introduction to Topology, by J. Scott Carter, World Scientific Press, Singapore 1993. ISBN 981-02-1050 3) A Topological Picturebook, by George Francis, Springer-Verlag, 1987. week22 1) The Four-Color Problem: Assault and Conquest, by Thomas L. Saaty and Paul C. Kainen, McGraw-Hill, 1977, ISBN 0-07-054382-8. 2) Map coloring and the vector cross product, by Louis Kauffman, J. Comb. Theory B, 48 (1990) 45. Map coloring, 1-deformed spin networks, and Turaev-Viro invariants for 3-manifolds, by Louis Kauffman, Int. Jour. of Mod. Phys. B, 6 (1992) 1765 - 1794. An algebraic approach to the planar colouring problem, by Louis Kauffman and H. Saleur, Yale University preprint YCTP-P27-91, November 8, 1991. 3) Every Planar Map is Four Colorable, by Kenneth Appel and Wolfgang Haken, Contemporary Mathematics (American Mathematical Society), v. 98, 1989. 4) Applications of negative dimensional tensors, by Roger Penrose, in Combinatorial Mathematics and its Applications, ed. D. J. A. Welsh, Academic Press, 1971. week23 1) Topological quantum invariants and the Andrews-Curtis conjecture (Progress report), by Frank Quinn, preprint, Sept. 1993. 2) Lectures on axiomatic topological quantum field theory, by Frank Quinn, to appear in the proceedings of the Park City Geometry Institute. 3) On the Andrews-Curtis conjecture and related problems, by Wolfgang Metzler, in Combinatorial Methods in Topology and Algebraic Geometry, Contemporary Mathematics 44, AMS, 1985. 4) Elements of Homotopy Theory, by George W. Whitehead, Springer-Verlag, Berlin, 1978. ISBN 0-387-90336-4 5) S. Gelfand and D. Kazhdan, Examples of tensor categories, Invent. Math. 109 (1992) 595-617. 6) Knots and Quantum Gravity, ed. John Baez, Oxford University Press (to appear). The Loop Formulation of Gauge Theory and Gravity, by Renate Loll Representation Theory of Analytic Holonomy C* Algebras, by Abhay Ashtekar and Jerzy Lewandowski (currently available as gr-qc/9311010) The Gauss Linking Number in Quantum Gravity, by Rodolfo Gambini and Jorge Pullin (currently available as gr-qc/9310025) Vassiliev Invariants and the Loop States in Quantum Gravity, by Louis H. Kauffman (soon to be on gr-qc) Geometric Structures and Loop Variables in (2+1)-Dimensional Gravity, by Steven Carlip (currently available as gr-qc/9309020) From Chern-Simons to WZW via Path Integrals, by Dana S. Fine Topological Field Theory as the Key to Quantum Gravity, by Louis Crane (currently available as hep-th/9308126) Strings, Loops, Knots and Gauge Fields, by John Baez (currently available as hep-th/9309067) BF Theories and 2-knots, by Paolo Cotta-Ramusino and Maurizio Martellini Knotted Surfaces, Braid Movies, and Beyond, by J. Scott Carter and Masahico Saito week24 1) Prima facie questions in quantum gravity, by Chris Isham, lecture at Bad Honeff, September 1993, preprint available in LaTeX form as gr-qc/9310031. 2) Lectures on 2d gauge theories: topological aspects and path integral techniques, by Matthias Blau and George Thompson, 70 pages, preprint available in LaTeX form as hep-th/9310144. 3) Semi-classical limits of simplicial quantum gravity, by J. W. Barrett and T. J. Foxon, preprint available as gr-qc/9310016. 4) Wave function of the universe, by J. B. Hartle and S. W. Hawking, Phys. Rev. D28 (1983), 2960. 5) Generalized measures in gauge theory, by John Baez, available in LaTeX as hep-th/9310201. week25 1) Loop Spaces, Characteristic Classes and Geometric Quantization, by Jean-Luc Brylinski, Birkhauser, Boston, 1993. ISBN 0-176-3644-7 2) Quantization and unitary representations, by Bertram Kostant, in Lectures in Modern Analysis and Applications III, Springer-Verlag Lecture Notes in Mathematics 170 (1970), 87-208. 3) Vortices in He II, current algebras and quantum knots, by M. Rasetti and T. Regge, Physica 80A (1975) 217-233. 4) A geometric approach to quantum vortices, by V. Penna and M. Spera, J. Math. Phys. 30 (1989), 2778-2784. week26 1) Cosmology, time's arrow, and that old double standard, by Huw Price, 26 pages, in LaTeX with 3 figures appended as postscript file, available as gr-qc/9310022. (Written for Time's Arrows Today Conference, UBC, Vancouver, June 1992; forthcoming in Savitt, S., ed., "Time's Arrows Today," Cambridge University Press, 1994.) 2) The Physical Basis of the Direction of Time, by H. D. Zeh, Second Edition, Springer-Verlag, 1992. ISBN 3-540-54884-X or 0-387-54884-X 3) Chromodynamics and gravity as theories on loop space, by R. Loll, 56 pages, 10 figures (postscript, compressed and uuencoded), TeX, available as hep-th/9309056. 4) Intersecting braids and intersecting knot theory, by Daniel Armand-Ugon, Rodolfo Gambini and Pablo Mora, Latex 14 pages (6 figures included), available as hep-th/9309136. week27 1) Conceptual Problems of Quantum Gravity, edited by Abhay Ashtekar and John Stachel, based on the proceedings of the 1988 Osgood Hill Conference, 15-19 May 1988, Birhaueser, Boston, 1991. 2) Quantum measurements and the environment-induced transition from quantum to classical, by Wojciech H. Zurek, the volume above. Loss of quantum coherence for a damped oscillator, by W. G. Unruh, the volume above. 3) Is there incompatibility between the ways time is treated in general relativity and in standard quantum mechanics?, by Carlo Rovelli, the volume above. The problem of time in canonical quantization of relativistic systems, by Karel V. Kuchar, the volume above. Time and prediction in quantum cosmology, by James B. Hartle, the volume above. Space and time in the quantum universe, by Lee Smolin, the volume above. 4) Old problems in the light of new variables, by Abhay Ashtekar, the volume above. Loop representation in quantum gravity, by Carlo Rovelli, the volume above. Nonperturbative quantum gravity via the loop representation, by Lee Smolin, the volume above. week28 1) An Introduction to Teichmueller spaces, by Y. Imayoshi and M. Taniguchi, Springer-Verlag, 1991, ISBN 4-431-70088-9. 2) An introduction to the moduli space of curves, by Joe Harris, in Mathematical Aspects of String Theory (proceedings of a conference at UC San Diego in 1986), ed. S. T. Yau, World Scientific Press, 1987, ISBN 9971-50-274-7. 3) The cohomology of the moduli space of curves, by John L. Harer, in Theory of Moduli (lectures given at the 3rd 1985 session of C.I.M.E. at Mondecatini Terme, Italy), ed. E. Sernesi, Springer-Verlag Lecture Notes in Mathematics 1337, 1988, ISBN 0-387-50080-4. 4) A presentation of the mapping class group of a closed, orientable surface, by A. Hatcher and W. Thurston, Topology 19 (1980), 221-237. 5) A simple presentation for the mapping class group of an orientable surface, Israel J. Math. 45 (1983), 157-174. 6) Braids, Links, and Mapping Class Groups, by Joan S. Birman, Annals of Mathematics Studies no. 82, Princeton University Press, 1974. 7) Universal constructions in Teichmueller theory, by R. C. Penner, Adv. Math. 98 (1993), 143-215. 8) Classical and quantum conformal field theory, by G. Moore and S. Seiberg, Comm. Math. Phys. 123 (1989) 177-254 9) 2-d physics and 3-d topology, by Louis Crane, Comm. Math. Phys. 135 (1991) 615-640. week29 1) On algebras and triangle relations, by Ruth J. Lawrence, to appear in Proc. Top. & Geom. Methods in Field Theory (1992), eds. J. Mickelsson and O. Pekonen, World Scientific, Singapore. A presentation for Manin and Schechtman's higher braid groups, by R. J. Lawrence, available as MSRI preprint 04129-91. Triangulations, categories and extended topological field theories, by R. J. Lawrence, in Quantum Topology, eds L. Kauffman and R. Baadhio, World Scientific, Singapore, 1993. Algebras and triangle relations, by R. J. Lawrence, Harvard U. preprint. 2) Coherence for tricategories, by R. Gordon, A. J. Power, and R. Street, preprint, 81 pages. 3) Formal Category Theory: Adjointness for 2-categories, by John W. Gray, Lecture Notes in Mathematics 391, Springer-Verlag, New York, 1974. ISBN 3-540-06830-9. Coherence for the tensor product of 2-categories, and braid groups, in Algebras, Topology, and Category Theory, eds. A. Heller and M. Tierney, Academic Press, New York, 1976, pp. 63-76. 4) On pentagon and tetrahedron equations, by J. M. Maillet, preprint available in LaTeX form as hep-th/9312037. 5) Homologically twisted invariants related to (2+1)- and (3+1)-dimensional state-sum topological quantum field theories, by David N. Yetter, preprint, 6 pages, available in LaTeX form as hep-th/9311082. week30 1) QED and the Men Who Made It: Dyson, Feynman, Schwinger and Tomonaga, by Silvan S. Schweber, Princeton Series in Physics, Princeton U. Press, 784 pages, available May 1994. Paperback: ISBN 0-691-03327-3 ($39.50). 2) The Music of the Heavens: Kepler's Harmonic Astronomy, by Bruce Stephenson, Princeton U. Press, 296 pages, available July 1994. Cloth: ISBN 0-691-03439-7 ($39.50). Kepler's Physical Astronomy, by Bruce Stephenson, Princeton U. Press, 218 pages, paperback available June 1994. ISBN 0-691-03652-7 ($14.95). 3) Temperley-Lieb Recoupling Theory and Invariants of 3-Manifolds, by Louis Kauffman and Sostenes Lins, Annals of Mathematics Studies No. 133, Princeton U. Press, 304 pages, available July 1994. Paperback: ISBN 0-691-03640-3 ($22.50). 4) The physical hamiltonian in quantum gravity, by C. Rovelli and L. Smolin, 11 pages, preprint available in LaTeX form as gr-qc/9308002. Fermions in quantum gravity, by H. A. Marales-Tecotl and C. Rovelli, 37 pages, preprint available in LaTeX form as gr-qc/9401011. 5) Extended loops: a new arena for nonperturbative quantum gravity, by C. Di Bartolo, R. Gambini, J. Griego and J. Pullin, 12 pages, preprint available in Revtex form as gr-qc/9312029. 6) Ashtekar variables in classical general relativity, by Domenico Giulini, 43 pages, preprint available in TeX form as gr-qc/9312032. week31 1) Possible implications of the quantum theory of gravity, by Louis Crane, 5 pages in LaTeX format, available as hep-th/9402104. 2) S. W. Hawking, Phys. Rev. D13, 191 (1976). 3) Do Black Holes Destroy Information? by J. Preskill, Caltech report CALT-68-1819, available as hep-th/9209058, Sept. 1992. 4) Black hole information, by Don Page, review lecture to be published in Proceedings of the 5th Canadian Conference on General Relativity and Relativistic Astrophysics, University of Waterloo, 13--15 May, 1993}, edited by R. B. Mann and R. G. McLenaghan (World Scientific, Singapore, 1994), now available in LaTeX form as hep-th/9305040. 5) Some Speculations about Black Hole Entropy in String Theory, Leonard Susskind, 11 pages in AMSTeX, available as hep-th/9309145. Black hole entropy in canonical quantum gravity and superstring theory, by L. Susskind and J. Uglum, 29 pages, available as hep-th/9401070. 6) Black hole evaporation without information loss, by C.R. Stephens, G. 't Hooft and B. F. Whiting, 35 pages in TeX format, 3 figures in postscript, available as gr-qc/9310006. 7) Complementarity in Wormhole Chromodynamics, by Hoi-Kwong Lo, Kai-Ming Lee, and John Preskill, 12 pages and 2 figures, phyzzx macros required, available as hep-th/9308044. 8) "No Hair" Theorems -- Folklore, Conjectures, Results, by Piotr T. Chrusciel, Garching preprint MPA 792, 30 pages available in LaTeX form as gr-qc/9402032. 9) On uniqueness in the large of solutions of Einstein's equations ("Strong cosmic censorship"), by Piotr T. Chrusciel, in Mathematical Aspects of Classical Field Theory, Contemp. Math. 132, eds. Gotay, Marsden and Moncrief, AMMS, Rhode Island, 1992, pp. 235-274. week32 1) On quantum mechanics, by Carlo Rovelli, uuencoded PostScript file, 42 pages available as hep-th/9403015. 2) Adjointness relations as a criterion for choosing an inner product, by Alan Rendall, gr-qc/9403001. 3) Gromov-Witten classes, quantum cohomology, and enumerative geometry, by M. Kontsevich, Yu. Manin, hep-th/9402147. week33 1) Gauge Fields, Knots and Gravity, by John Baez and Javier de Muniain, World Scientific Press, to appear in summer 1994. 2) Quantum Theory: Concepts and Methods, by Asher Peres, Kluwer Academic Publishers, 1994, ISBN 0-7923-2549-4. 3) Loop representations, by Bernd Bruegmann, Max Planck Institute preprint, available as gr-qc 9312001. 4) The fate of black hole singularities and the parameters of the standard models of particle physics and cosmology, by Lee Smolin, available in LaTeX format as gr-qc/9404011. week34 1) Algorithms for quantum computation: discrete log and factoring, extended abstract by Peter Shor. 2) Simulating physics with computers, by Richard Feynman, International Journal of Theoretical Physics, Vol. 21, nos. 6/7, pp. 467--488 (1982). 3) Quantum mechanical Hamiltonian models of Turing machines, by P. Benioff J. Stat. Phys., Vol. 29, pp. 515--546 (1982). Quantum theory, the Church--Turing principle and the universal quantum computer, by D. Deutsch, Proc. R. Soc. Lond., Vol. A400, pp. 96--117 (1985). Quantum computational networks, by D. Deutsch, Proc. R. Soc. Lond., Vol. A425, pp. 73--90 (1989). Rapid solution of problems by quantum computation, by D. Deutsch and R. Jozsa, Proc. R. Soc. Lond., Vol. A439, pp. 553--558 (1992). Quantum complexity theory, E. Bernstein and U. Vazirani, Proc. 25th ACM Symp. on Theory of Computation, pp. 11--20 (1993). The quantum challenge to structural complexity theory, A. Berthiaume and G. Brassard, Proc. 7th IEEE Conference on Structure in Complexity Theory (1992). Quantum circuit complexity, by A. Yao, Proc. 34th IEEE Symp. on Foundations of Computer Science, 1993. 4) The Chern-Simons invariant as the natural time variable for classical and quantum cosmology, by Lee Smolin and Chopin Soo, 16 pages in LaTeX format, available as gr-qc/9405015. 5) Symplectic geometry, a series of lectures by Mikhail Gromov, compiled by Richard Brown, edited by Robert Miner (lena@math.umd.edu). week35 1) Pursuing stacks (A la poursuite des champs), 1983 letter from Alexandre Grothendieck to Daniel Quillen, 593 pages, apparently available only from someone who wants to copy 593 pages for you --- i.e., not me. 2) J. Benabou, Introduction to bicategories, Lect. Notes in Math., vol. 47, Berlin, Springer-Verlag, 1968, pp. 1-71. 3) Selected bibliography on higher-dimensional algebra. week36 1) Three-dimensional BF theories and the Alexander--Conway invariant of knots, by A. S. Cattaneo, P. Cotta-Ramusino, and M. Martellini; 32 pages in LaTeX format (figures available upon request), available as hep-th/9407070. 2) B^F theory and flat spacetimes, by Henri Waelbroeck, 21 pages in LaTeX format, available as gr-qc/9311033. 3) A Hamiltonian formulation of topological gravity, by Henri Waelbrock and J. A. Zapata, 15 pages available in LaTeX format as gr-qc/9311035. 4) Topological Yang-Mills symmetry, by L. Baulieu and I. M. Singer, Nucl. Phys. (Proc. Suppl.) B5 (1988) 12-19. 5) On quantum gauge theories in two dimensions, by Edward Witten, Comm. Math. Phys. 141 (1991) 153-209. 6) Topological gauge theories of antisymmetric tensor fields, by M. Blau and G. Thompson, Ann. Phys. 205 (1991) 130-172. -------------------- This stuff should all be in /usr/spool/ftp/baez at math.ucr.edu, aka ucrmath.ucr.edu.