ScalingStacks

[00P2] A Prehistory of n-Categorical Physics

John C. Baez, Aaron Lauda

Original source: arXiv:0908.2469v1

Chapter 3170 · Reference depth 1

Author TeX is available. HTML chapter conversion is pending.

Cited by Braiding on type A Soergel bimodules: semistrictness and naturality

Original source PDF · 0908.2469v1

Preserved original PDF pages

References in this collection

  1. Street3 · An Australian conspectus of higher categories Depth 2
  2. Power · A.\ John Power, Why tricategories?, Information and Computation 120 (1995), 251--262. Available at http://www.lfcs.inf.ed.ac.uk/reports/94/ECS-LFCS-94-289/ http:/\!/www.lfcs.inf.ed.ac.uk/reports/94/ECS-LFCS-94-289/ Depth 2
  3. BS · Higher gauge theory Depth 2
  4. maxwell · Matter and Motion Depth 2
  5. lorentz · Electromagnetic phenomena in a system moving with any velocity less than that of light Depth 2
  6. Poincare · Sur la dynamique de l'electron, Comptes Rendus Acad Depth 2
  7. Einstein · Albert Einstein, Zur Elektrodynamik bewegter K\"orper, Annalen der Physik 17 (1905), 891--921. Reprinted in The Principle of Relativity, trans.\ W.\ Perrett and G.\ B.\ Jeffrey, Dover Publications, New York, 1923. Depth 2
  8. MehraMatrix · The Formulation of Matrix Mechanics and Its Modifications 1925-1926 Depth 2
  9. Greenspan · The End of the Certain World: The Life and Science of Max Born Depth 2
  10. vN · Mathematische Grundlager der Quantenmechanik Depth 2
  11. Wigner · On unitary representations of the inhomogeneous Lorentz group Depth 2
  12. EM · General theory of natural equivalences Depth 2
  13. MehraFeynman · The Beat of a Different Drum: The Life and Science of Richard Feynman Depth 2
  14. Feynman2 · Space-time approach to quantum electrodynamics, Phys Depth 2
  15. Feynman1 · Richard Feynman, The theory of positrons, Phys.\ Rev.\ 76 (1949), 749--759. Depth 2
  16. Dyson1 · Freeman J. Dyson, The radiation theories of Tomonaga, Schwinger and Feynman, Phys.\ Rev. 75 (1949), 486--502. Depth 2
  17. Dyson2 · Freeman J. Dyson, The S matrix in quantum electrodynamics, Phys.\ Rev. 75 (1949), 1736--1755. Depth 2
  18. Kaiser · Drawing Theories Apart: The Dispersion of Feynman Diagrams in Postwar Physics Depth 2
  19. JS0 · The geometry of tensor calculus I Depth 2
  20. YM · Chen Ning Yang and Robert Mills: Conservation of isotopic spin and isotopic gauge invariance, Phys.\ Rev. 96 (1954) 191--195. Depth 2
  21. Yang · D. Z. Zhang, C.\ N.\ Yang and contemporary mathematics, Math.\ Intelligencer 14 (1993), 13--21. Depth 2
  22. MacLane:1963 · Saunder Mac Lane, Natural associativity and commutativity, Rice Univ.\ Studies 49 (1963), 28--46. Depth 2
  23. Stasheff1 · Homotopy associative H-spaces I, II Depth 2
  24. Lawvere · Functorial Semantics of Algebraic Theories Depth 2
  25. MacLane:1965 · Categorical algebra Depth 2
  26. BV · Homotopy invariant Structures on topological spaces Depth 2
  27. May · The geometry of iterated loop spaces Depth 2
  28. Stasheff2 · Jean-Louis Loday, James D.\ Stasheff and A.\ A.\ Voronov, eds., Operads: Proceedings of Renaissance Conferences, A.\ M.\ S., Providence, Rhode Island, 1997. Depth 2
  29. Stasheff3 · Operads in Algebra, Topology and Physics Depth 2
  30. Leinster2 · Higher Operads, Higher Categories Depth 2
  31. Benabou · Introduction to bicategories Depth 2
  32. Pais · Subtle Is the Lord: The Science and the Life of Albert Einstein Depth 2
  33. Penrose1 · Applications of negative dimensional tensors Depth 2
  34. Penrose2 · Angular momentum: an approach to combinatorial space-time Depth 2
  35. Penrose3 · On the nature of quantum geometry Depth 2
  36. Major · A Spin Network Primer Depth 2
  37. Penrose4 · Combinatorial quantum theory and quantized directions, in Depth 2
  38. Cvitanovic · Predrag Cvitanovi\'c, Group Theory, Princeton U.\ Press, Princeton, 2003. Available at http://birdtracks.eu/ http:/\!/birdtracks.eu/ . Depth 2
  39. PR · Semiclassical limits of Racah coefficients Depth 2
  40. Carlip · Steven Carlip: Quantum gravity in 2+1 dimensions: the case of a closed universe, Living Rev. Relativity 8, No. 1 (2005). Available at http://www.livingreviews.org/lrr-2005-1 http:/\!/www.livingreviews.org/lrr-2005-1 . Depth 2
  41. JustinRoberts · Classical 6j-symbols and the tetrahedron Depth 2
  42. FL · Laurent Freidel and David Louapre: Ponzano--Regge model revisited. I: Gauge fixing, observables and interacting spinning particles, Class.\ Quant.\ Grav. 21 (2004), 5685--5726. Also available as hep-th/0401076. Laurent Freidel and David Louapre: Ponzano--Regge Depth 2
  43. Gro · Pursuing Stacks Depth 2
  44. Kan · On c.s.s. complexes Depth 2
  45. Street1 · Ross Street, The algebra of oriented simplexes, Jour.\ Pure Appl.\ Alg. 49 (1987), 283--335. Depth 2
  46. Street2 · Weak omega-categories Depth 2
  47. JohnRoberts · John Roberts, Mathematical aspects of local cohomology, in Alg\`ebres d'Op\'erateurs et Leurs Applications en Physique Math\'ematique, CNRS, Paris, 1979, pp.\ 321--332. Depth 2
  48. Verity1 · Complicial Sets Depth 2
  49. Verity2 · Weak complicial sets, a simplicial weak omega-category theory. Part I: basic homotopy theory Depth 2
  50. Verity3 · Weak complicial sets, a simplicial weak omega-category theory. Part II: nerves of complicial Gray-categories Depth 2
  51. hda3 · Higher-Dimensional Algebra III: n-Categories and the Algebra of Opetopes Depth 2
  52. Leinster1 · Structures in higher-dimensional category theory Depth 2
  53. HMP · Michael Makkai, Claudio Hermida and John Power: On weak higher-dimensional categories I, II. Jour.\ Pure Appl.\ Alg. 157 (2001), 221--277. Depth 2
  54. Ch1 · The category of opetopes and the category of opetopic sets Depth 2
  55. Ch2 · Weak n-categories: opetopic and multitopic foundations Depth 2
  56. Ch3 · Weak n-categories: comparing opetopic foundations Depth 2
  57. Ch4 · Opetopic bicategories: comparison with the classical theory Depth 2
  58. Makkai · The multitopic -category of all multitopic -categories Depth 2
  59. Tam1 · On non-strict notions of n-category and n-groupoid via multisimplicial sets Depth 2
  60. Tam2 · Equivalence de la théorie homotopique des n-groupoïdes et celle des espaces topologiques n-tronqués Depth 2
  61. Simpson1 · A closed model structure for n-categories, internal Hom, n-stacks and generalized Seifert-Van Kampen Depth 2
  62. Simpson2 · Limits in n-categories Depth 2
  63. Simpson3 · Calculating maps between n-categories Depth 2
  64. Simpson4 · On the Breen-Baez-Dolan stabilization hypothesis for Tamsamani's weak n-categories Depth 2
  65. Batanin · Monoidal globular categories as natural environment for the theory of weak n-categories Depth 2
  66. Street4 · The role of Michael Batanin's monoidal globular categories Depth 2
  67. Penon · Jacques Penon, Approche polygraphique des -categories non strictes, Cah.\ Top.\ G\'eom.\ Diff.\ 40 (1999), 31--80. Also available at http://www.numdam.org/numdam-bin/fitem?id=CTGDC_1999__40_1_31_0 http:/\!/www.numdam.org/item?id=CTGDC \;1999 \; \;40 \;1 \;31 \ Depth 2
  68. Batanin4 · Michael Batanin, On Penon method of weakening algebraic structures, Jour.\ Pure Appl.\ Algebra 172 (2002), 1--23. Depth 2
  69. ChMakkai · A note on the Penon definition of n-category, to appear in Cah. Top. Géom. Diff. Depth 2
  70. Trimble · nLab, Trimble n-category, available at http://ncatlab.org/nlab/show/Trimble+n-category http:/\!/ncatlab.org/nlab/show/Trimble+n-category . Depth 2
  71. Ch5 · Comparing operadic theories of n-category Depth 2
  72. ChGur · Eugenia Cheng and Nick Gurski, Toward an n-category of cobordisms, Th.\ Appl.\ Cat.\ 18 (2007), 274--302. Available at http://www.tac.mta.ca/tac/volumes/18/10/18-10abs.html http:/\!/www.tac.mta.ca/tac/volumes/18/10/18-10abs.html . Depth 2
  73. Joyal · Disks, duality and -categories Depth 2
  74. Berger1 · A cellular nerve for higher categories Depth 2
  75. Simpson5 · Some properties of the theory of n-categories Depth 2
  76. Makkai2 · On comparing definitions of ``weak n-category'' Depth 2
  77. Batanin2 · The Combinatorics of Iterated Loop Spaces Depth 2
  78. Batanin3 · The Eckman-Hilton argument and higher operads Depth 2
  79. Berger2 · Iterated wreath product of the simplex category and iterated loop spaces Depth 2
  80. Cisinski · Batanin higher groupoids and homotopy types Depth 2
  81. Pa1 · Semistrict models of connected 3-types and Tamsamani's weak 3-groupoids Depth 2
  82. Pa2 · Semistrict Tamsamani n-groupoids and connected n-types Depth 2
  83. Leinster.survey · A Survey of Definitions of n-Category Depth 2
  84. Leinster.book · Higher Operads, Higher Categories Depth 2
  85. ChengLauda · Higher-Dimensional Categories: an Illustrated Guidebook Depth 2
  86. BaezMay · Towards Higher Categories Depth 2
  87. GK · Ezra Getzler and Mikhail Kapranov, eds.\ Higher Category Theory Contemp.\ Math.\ 230, American Mathematical Society, Providence, Rhode Island, 1998. Depth 2
  88. Davydov · Alexei Davydov, Michael Batanin, Michael Johnson, Stephen Lack and Amnon Neeman, eds., Categories in Algebra, Geometry and Mathematical Physics, Contemp.\ Math.\ 431, American Mathematical Society, Providence, Rhode Island, 2007. Depth 2
  89. Zweibach · A First Course in String Theory Depth 2
  90. GSW · Superstring Theory Depth 2
  91. Polchinski · String Theory Depth 2
  92. JS1 · Andr\'e Joyal and Ross Street, Braided monoidal categories, Macquarie Math Reports 860081 (1986). Available at http://rutherglen.ics.mq.edu.au/ street/ http:/\!/rutherglen.ics.mq.edu.au/ street/ . Andr\'e Joyal and Ross Street, Braided tensor categories, Adv.\ Depth 2
  93. Jones · Vaughan Jones: A polynomial invariant for knots via von Neumann algebras, Bull.\ Amer.\ Math.\ Soc. 12 (1985), 103--111. Depth 2
  94. Kauffman1987 · Louis H.\ Kauffman, State models and the Jones polynomial, Topology 26 (1987), 395--407. Depth 2
  95. Kauffman1998 · Louis H.\ Kauffman, Spin networks and the bracket polynomial, Banach Center Publications 42 (1998), 187--204. Also available at http://www.math.uic.edu/ kauffman/spinnet.pdf http://www.math.uic.edu/ kauffman/spinnet.pdf . Depth 2
  96. Kauffman2 · Knots and Physics Depth 2
  97. HOMFLY · A new polynomial invariant of knots and links Depth 2
  98. PT · Conway algebras and skein equivalence of links Depth 2
  99. FY · Braided compact closed categories with applications to low dimensional topology Depth 2
  100. Shum · Mei-Chi Shum, Tortile tensor categories, Jour.\ Pure Appl.\ Alg.\ 93 (1994), 57--110. Depth 2
  101. Feynman3 · The reason for antiparticles Depth 2
  102. Wilczek · Frank Wilczek, Quantum mechanics of fractional-spin particles, Phys.\ Rev.\ Lett.\ 49 (1982), 957--959. Depth 2
  103. Ezawa · Quantum Hall Effects Depth 2
  104. Laughlin · Robert B.\ Laughlin, Anomalous quantum Hall effect: an incompressible quantum fluid with fractionally charged excitations, Phys.\ Rev.\ Lett.\ 50 (1983), 1395. Depth 2
  105. GST · Arthur C.\ Gossard, Daniel C.\ Tsui and Horst L.\ St\"ormer, Two-dimensional magnetotransport in the extreme quantum limit, Phys.\ Rev.\ Lett.\ 48 (1982), 1559--1562. Depth 2
  106. Yetter · Functorial Knot Theory: Categories of Tangles, Categorical Deformations and Topological Invariants Depth 2
  107. Drinfeld · Quantum groups, in Depth 2
  108. Jimbo · Michio Jimbo, A q-difference analogue of U( ) and the Yang--Baxter equation, Lett.\ Math.\ Phys.\ 10 (1985), 63--69. Depth 2
  109. Heisenberg · Werner Heisenberg, Multi-body problem and resonance in the quantum mechanics, Z. Physik 38 (1926), 411--426. Depth 2
  110. Bethe · On the theory of metals. 1 Depth 2
  111. Onsager · Lars Onsager: Crystal statistics. 1. A Two-dimensional model with an order disorder transition, Phys. Rev. 65 (1944), 117--149. Depth 2
  112. YangYang · One-dimensional chain of anisotropic spin-spin interactions Depth 2
  113. Baxter · R.\ J.\ Baxter: Solvable eight vertex model on an arbitrary planar lattice, Phil.\ Trans.\ Roy.\ Soc.\ Lond. 289 (1978), 315--346. Depth 2
  114. FST · Ludwig D.\ Faddeev, Evgueni K.\ Sklyanin and Leon A.\ Takhtajan, The quantum inverse problem method. 1, Theor.\ Math.\ Phys. 40 (1980), 688--706. Depth 2
  115. CP · A Guide to Quantum Groups Depth 2
  116. Kassel · Quantum Groups Depth 2
  117. Majid · Foundations of Quantum Group Theory Depth 2
  118. EL · The Dynamical Yang--Baxter Equation, Representation Theory, and Quantum Integrable Systems Depth 2
  119. Segal · The definition of conformal field theory Depth 2
  120. FMS · Conformal Field Theory Depth 2
  121. Atiyah · Michael Atiyah, Topological quantum field theories, Inst.\ Hautes \'Etudes Sci.\ Publ.\ Math. 68 (1988), 175--186. Depth 2
  122. Witten2 · Topological quantum field theory Depth 2
  123. Schreiber · AQFT from n-functorial QFT Depth 2
  124. Selinger · Dagger compact closed categories and completely positive maps, in Depth 2
  125. Dij1 · A Geometric Approach to Two Dimensional Conformal Field Theory Depth 2
  126. Abrams1 · Lowell Abrams, Two-dimensional topological quantum field theories and Frobenius algebras, Jour.\ Knot Th.\ Ramif. 5 (1996), 569--587. Depth 2
  127. Kock · Frobenius Algebras and 2D Topological Quantum Field Theories Depth 2
  128. DR1 · A new duality theory for compact groups Depth 2
  129. DR2 · Why there is a field algebra with a compact gauge group describing the superselection in particle physics Depth 2
  130. AC · A categorical semantics of quantum protocols Depth 2
  131. RT1 · Ribbon graphs and their invariants derived from quantum groups Depth 1
  132. JS2 · Andr\'e Joyal and Ross Street, An introduction to Tannaka duality and quantum groups, in Part II of Category Theory, Proceedings, Como 1990, eds.\ A.\ Carboni et al, Lecture Notes in Mathematics 1488, Springer, Berlin, 1991, 411-492. Available at http://www.ma Depth 2
  133. Kohno · Toshitake Kohno, ed., New Developments in the Theory of Knots, World Scientific Press, Singapore, 1990. Depth 2
  134. Witten · Quantum field theory and the Jones polynomial Depth 1
  135. Ashtekar1 · Abhay Ashtekar, New variables for classical and quantum gravity, Phys.\ Rev.\ Lett.\ 57 (1986), 2244--2247. Depth 2
  136. RS · Carlo Rovelli and Lee Smolin, Loop space representation of quantum general relativity, Nuclear Phys.\ B 331 (1990), 80--152. Depth 2
  137. RS2 · Spin Networks and Quantum Gravity Depth 2
  138. Baez1 · Spin Network States in Gauge Theory Depth 2
  139. RR · ``Sum over Surfaces'' form of Loop Quantum Gravity Depth 2
  140. Baez2 · Spin Foam Models Depth 2
  141. Baez3 · An Introduction to Spin Foam Models of Quantum Gravity and BF Theory Depth 2
  142. Rovelli1 · Carlo Rovelli, Loop quantum gravity, Living Rev.\ Relativity 11, (2008), 5. Available as http://www.livingreviews.org/lrr-2008-5 http:/\!/relativity.livingreviews.org/Articles/lrr-2008-5/ . Depth 2
  143. Rovelli2 · Quantum Gravity Depth 2
  144. Ashtekar2 · Lectures on Nonperturbative Canonical Gravity Depth 2
  145. Lus1 · George Lusztig, Canonical bases arising from quantized enveloping algebras, Jour.\ Amer.\ Math.\ Soc.\ 3 (1990), 447--498. Canonical bases arising from quantized enveloping algebras II, Progr.\ Theoret.\ Phys.\ Suppl.\ 102 (1990), 175--201. Depth 2
  146. Lus2 · George Lusztig, Quivers, perverse sheaves, and quantized enveloping algebras, Jour.\ Amer.\ Math.\ Soc.\ 4 (1991), 365--421. Depth 2
  147. Kas1 · Crystalizing the q-analogue of universal enveloping algebras Depth 2
  148. Kas2 · On crystal bases of the q-analogue of universal enveloping algebras Depth 2
  149. Kas3 · Global crystal bases of quantum groups Depth 2
  150. GL2 · A comparison of bases of quantized enveloping algebras Depth 2
  151. Lus3 · Introduction to Quantum Groups Depth 2
  152. RT2 · Invariants of 3-manifolds via link polynomials and quantum groups Depth 1
  153. KV · 2-categories and Zamolodchikov tetrahedra equations Depth 1
  154. hda1 · Higher-Dimensional Algebra I: Braided Monoidal 2-Categories Depth 1
  155. Crans · Generalized centers of braided and sylleptic monoidal 2-categories Depth 2
  156. DS · Monoidal bicategories and Hopf algebroids Depth 2
  157. McCrudden · Paddy McCrudden, Balanced coalgebroids, Th.\ Appl.\ Cat.\ 7 (2000), 71--147. Available at http://www.tac.mta.ca/tac/volumes/7/n6/7-06abs.html http:/\!/www.tac.mta.ca/tac/volumes/7/n6/7-06abs.html . Depth 2
  158. CS · Knotted Surfaces and Their Diagrams Depth 2
  159. CRS · A combinatorial description of knotted surfaces and their isotopies Depth 2
  160. hda4 · Higher-Dimensional Algebra IV: 2-Tangles Depth 2
  161. TV · Vladimir G.\ Turaev and Oleg Ya. Viro, State sum invariants of 3-manifolds and quantum 6j-symbols, Topology 31 (1992), 865--902. Depth 2
  162. Turaev · Quantum Invariants of Knots and 3-Manifolds Depth 2
  163. BakalovKirillov · Lectures on tensor categories and modular functors Depth 1
  164. FHK · Lattice Topological Field Theory in Two Dimensions Depth 2
  165. BW · Invariants of Piecewise-Linear 3-Manifolds Depth 2
  166. BW2 · Spherical Categories Depth 2
  167. Pachner · Uwe Pachner, P.L.\ homeomorphic manifolds are equivalent by elementary shelling, Europ.\ Jour.\ Combinatorics 12 (1991), 129--145. Depth 2
  168. Turaev2 · Vladimir Turaev, Topology of shadows (1991), preprint. Depth 2
  169. Turaev3 · Vladimir Turaev, Shadow links and face models of stastistical mechanics, Jour.\ Diff.\ Geom.\ 36 (1992), 35--74. Depth 2
  170. Ooguri · Hirosi Ooguri, Topological lattice models in four dimensions, Modern Phys.\ Lett.\ A 7 (1992), 2799--2810. Depth 2
  171. CY · A categorical construction of 4D TQFTs Depth 2
  172. CKY · State-Sum Invariants of 4-Manifolds I Depth 1
  173. JustinRoberts2 · Justin Roberts, Skein theory and Turaev--Viro invariants, Topology 34 (1995), 771--787. Also available at http://math.ucsd.edu/ justin/papers.html http:/\!/math.ucsd.edu/ justin/papers.html. Depth 2
  174. Mackaay · Spherical 2-categories and 4-manifold invariants Depth 2
  175. EH · Group-like structures in categories Depth 2
  176. JT · A.\ Joyal and M.\ Tierney, Algebraic homotopy types, handwritten lecture notes, 1984. Depth 2
  177. Kontsevich · Vassiliev's knot invariants Depth 2
  178. Lawrence · Triangulations, categories and extended topological field theories Depth 2
  179. Lawrence2 · Algebras and triangle relations Depth 2
  180. Brown · Ronald Brown, Out of line, Royal Inst.\ Proc.\ 64 (1992), 207--243. Also available at http://www.bangor.ac.uk/ mas010/outofline/out-home.html http:/\!/www.bangor.ac.uk/ mas010/outofline/out-home.html Depth 2
  181. Crane1995 · Clock and Category; IS QUANTUM GRAVITY ALGEBRAIC Depth 2
  182. Morton · Double bicategories and double cospans, to appear in Jour. Homotopy and Rel. Str. Depth 2
  183. Schommer-Pries · The Classification of Two-Dimensional Extended Topological Quantum Field Theories Depth 2
  184. Lurie · On the Classification of Topological Field Theories Depth 2
  185. MS · Gregory Moore and Graeme B.\ Segal, Lectures on branes, K-theory and RR charges, in Lecture notes from the Clay Institute School on Geometry and String Theory held at the Isaac Newton Institute, Cambridge, UK, 2001--2002. Available at http://www.physics.rutger Depth 2
  186. Segal2 · Topological structures in string theory Depth 2
  187. FS · J\"urgen Fuchs and Christoph Schweigert, Category theory for conformal boundary conditions, Fields Inst.\ Comm.\ 39 (2003), 25--71. Also available as math.CT/0106050. Depth 2
  188. RFFS · Topological and conformal field theory as Frobenius algebras Depth 2
  189. RFS · Categorification and correlation functions in conformal field theory Depth 2
  190. LP1 · Open-closed strings: two-dimensional extended TQFTs and Frobenius algebras Depth 2
  191. LP2 · State sum construction of two-dimensional open-closed topological quantum field theories Depth 2
  192. KerlerLyubashenko · Non-Semisimple Topological Quantum Field Theories for 3-Manifolds With Corners Depth 2
  193. CF · Four dimensional topological quantum field theory, Hopf categories, and the canonical bases Depth 1
  194. Kuperberg · Greg Kuperberg, Involutory Hopf algebras and 3-manifold invariants, Internat.\ Jour.\ Math.\ 2 (1991), 41--66. Also available as math/9201301. Depth 2
  195. CFS · Structure of Topological Lattice Field Theories in Three Dimensions Depth 2
  196. Neuchl · Representation Theory of Hopf Categories, Ph.D. dissertation Depth 2
  197. CKS · Structures and diagrammatics of four dimensional topological lattice field theories Depth 2
  198. Pfeiffer · 2-Groups, trialgebras and their Hopf categories of representations Depth 2
  199. DK · The Geometry of Four-Manifolds Depth 2
  200. SW1 · Nathan Seiberg and Edward Witten, Electric-magnetic duality, monopole condensation, and confinement in N=2 supersymmetric Yang-Mills theory, Nucl.\ Phys.\ B426 (1994), 19--52. Depth 2
  201. SW2 · Nathan Seiberg and Edward Witten, Monopoles, duality and chiral symmetry breaking in N=2 supersymmetric QCD, Nucl.\ Phys.\ B431 (1994), 484--550. Depth 2
  202. FU · Instantons and Four-Manifolds Depth 2
  203. MF · John W.\ Morgan and R.\ Friedman, eds., Gauge Theory and the Topology of Four-Manifolds, American Mathematical Society, Providence, Rhode Island, 1997. Depth 2
  204. Morgan · The Seiberg--Witten Equations and Applications to the Topology of Smooth Four-Manifolds Depth 2
  205. Scorpan · The Wild World of 4-Manifolds Depth 2
  206. KL · Mikhail Khovanov and Aaron Lauda, A diagrammatic approach to categorification of quantum groups I, Represent.\ Theory 13 (2009), 309--347. Also available as 0803.4121. A diagrammatic approach to categorification of quantum groups II. Available as 0804.2080. Depth 2
  207. VV · Canonical bases and Khovanov--Lauda algebras Depth 2
  208. Lau1 · A categorification of quantum sl(2) Depth 2
  209. KL3 · A diagrammatic approach to categorification of quantum groups III Depth 2
  210. CR · Derived equivalences for symmetric groups and _2-categorification Depth 2
  211. Rou · 2-Kac-Moody algebras Depth 2
  212. Kh5 · Hopfological algebra and categorification at a root of unity: the first steps Depth 2
  213. Freed · Higher Algebraic Structures and Quantization Depth 2
  214. hda2 · Higher-dimensional algebra II: 2-Hilbert spaces Depth 2
  215. Bartlett · Bruce Bartlett, On unitary 2-representations of finite groups and topological quantum field theory, Ph.\ D.\ thesis, U.\ Sheffield, 2008. Also available as 0901.3975. Depth 2
  216. BBFW · Infinite-dimensional representations of 2-groups Depth 2
  217. Kontsevich2 · Homological algebra of mirror symmetry Depth 2
  218. Keller · Introduction to A_∞-algebras and modules Depth 2
  219. KS · Notes on A-infinity algebras, A-infinity categories and non-commutative geometry. I Depth 2
  220. Rotman · An Introduction to Homological Algebra Depth 2
  221. Weibel · An Introduction to Homological Algebra Depth 2
  222. Costello · Topological conformal field theories and Calabi-Yau categories Depth 2
  223. Frenkel · Edward Frenkel, Gauge theory and Langlands duality, S\'eminaire Bourbaki 61 (2009). Also available as 0906.2747. Depth 2
  224. GPS · Coherence for tricategories Depth 1
  225. Gray · Formal Category Theory: Adjointness for 2-Categories, Depth 2
  226. hdatqft · Higher-dimensional Algebra and Topological Quantum Field Theory Depth 1
  227. ChGur2 · Eugenia Cheng and Nick Gurski, The periodic table of n-categories for low dimensions I: degenerate categories and degenerate bicategories, available as 0708.1178. Eugenia Cheng and Nick Gurski, The periodic table of n-categories for low dimensions II: degenera Depth 2
  228. BaezShulman · Lectures on n-categories and cohomology, section 5.6: pointedness versus connectedness, to appear in Towards Higher Categories, eds. Baez and May, Institute for Mathematics and its Applications Depth 2
  229. Kontsevich3 · Maxim Kontsevich, Operads and motives in deformation quantization, Lett.\ Math.\ Phys.\ 48 (1999), 35--72. Also available as math/9904055. Depth 2
  230. Batanin5 · Michael Batanin, Configuration spaces from combinatorial, topological and categorical perspectives, lecture at Macquarie University, September 27, 2006. Available at http://www.maths.mq.edu.au/ street/BatanAustMSMq.pdf http://www.maths.mq.edu.au/ street/BatanA Depth 2
  231. Joyal2 · Andr\'e Joyal, Quasi-categories and Kan complexes, Jour.\ Pure Appl.\ Alg.\ 175 (2002), 207--222. Depth 2
  232. Rezk · A model for the homotopy theory of homotopy theory Depth 1
  233. Lurie2 · Higher Topos Theory Depth 1
  234. Bergner · A survey of (∞, 1)-categories Depth 2
  235. Barwick · Weakly Enriched M-Categories Depth 2
  236. Dick · Emmy Noether: 1882--1935 Depth 2
  237. Kh · A categorification of the Jones polynomial Depth 1
  238. BN · Dror Bar-Natan, On Khovanov's categorification of the Jones polynomial, Alg.\ Geom.\ Top.\ 2 (2002), 337--370. Also available as math/0201043. Depth 2
  239. BN2 · Khovanov's homology for tangles and cobordisms Depth 2
  240. Jac1 · An invariant of link cobordisms from Khovanov homology, Alg. Geom. Top Depth 2
  241. Kh2 · An invariant of tangle cobordisms Depth 1
  242. CMW · Fixing the functoriality of Khovanov homology Depth 2
  243. Jones2 · Planar algebras, I Depth 2
  244. Ras · Khovanov homology and the slice genus, to appear in Depth 2
  245. Ras2 · Knot polynomials and knot homologies Depth 2
  246. KM · Peter B.\ Kronheimer and T.\ S.\ Mrowka, Gauge theory for embedded surfaces I, Topology 32 (1993), 773--826. Available at http://www.math.harvard.edu/ kronheim/papers.html http:/\!/www.math.harvard.edu/ kronheim/papers.html . Peter B.\ Kronheimer and T.\ S.\ M Depth 2
  247. OS · Holomorphic disks and topological invariants for closed three-manifolds Depth 2
  248. MOS · A combinatorial description of knot Floer homology Depth 2
  249. MOST · Ciprian Manolescu, Peter Ozsv\'ath, Zolt\'an Szab\'o and Dylan Thurson, On combinatorial link Floer homology, Geom.\ Top.\ 11 (2007), 2339--2412. Also available as math/0610559. Depth 2

Original mathematics by the credited authors. Source collection and HTML conversion remain in progress.