@article{CTGDC_2000__41_1_2_0, author = {Crans, Sjoed}, title = {On braiding, syllapses and symmetries}, journal = {Cahiers de Topologie et G\'eom\'etrie Diff\'erentielle Cat\'egoriques}, pages = {2--74}, publisher = {Dunod \'editeur, publi\'e avec le concours du CNRS}, volume = {41}, number = {1}, year = {2000}, mrnumber = {1748753}, zbl = {0945.18005}, language = {en}, url = {http://www.numdam.org/item/CTGDC_2000__41_1_2_0/} }
TY - JOUR AU - Crans, Sjoed TI - On braiding, syllapses and symmetries JO - Cahiers de Topologie et Géométrie Différentielle Catégoriques PY - 2000 SP - 2 EP - 74 VL - 41 IS - 1 PB - Dunod éditeur, publié avec le concours du CNRS UR - http://www.numdam.org/item/CTGDC_2000__41_1_2_0/ LA - en ID - CTGDC_2000__41_1_2_0 ER -
Crans, Sjoed. On braiding, syllapses and symmetries. Cahiers de Topologie et Géométrie Différentielle Catégoriques, Volume 41 (2000) no. 1, pp. 2-74. http://www.numdam.org/item/CTGDC_2000__41_1_2_0/
[1] Infinite loop spaces", Princeton U. Press, Princeton, 1978. | MR | Zbl
, "[2] Higher dimensional algebra and Topological Quantum Field Theory, Jour. Math. Phys. 36 (1995), 6073-6105. | MR | Zbl
and ,[3] Higher dimensional algebra III: n-categories and the algebra of opetopes, Adv. Math. 135 (1998), 145-206. | MR | Zbl
and ,[4] 2-tangles, Lett. Math. Phys. 43 (1998), 187-197. | MR | Zbl
and ,[5] Higher dimensional algebra I. Braided monoidal 2-categories, Adv. Math. 121 (1996), 196-244. | MR | Zbl
and ,[6] Monoidal globular categories as natural environment for the theory of weak n-categories, Adv. Math. 136 (1998), 39-103. | MR | Zbl
,[7] On the classification of 2-gerbes and 2-stacks, Astérisque 225 (1994). | Numdam | MR | Zbl
,[8] Algebraic models of 3-types and automorphism structures for crossed modules, Proc. London Math. Soc. 59 (1989), 51-73. | MR | Zbl
and ,[9] On combinatorial models for higher dimensional homotopies", Ph.D. thesis, Utrecht University, 1995.
, "[10] Generalized centers of braided and sylleptic monoidal 2-categories, Adv. Math. 136 (1998), 183-223. | MR | Zbl
,[11] A tensor product for Gray-categories, Preprint 97/222, Macquarie University. | MR
,[12] Higher dimensional Zamolodchikov and Yang-Baxter equations, in preparation.
,[13] Monoidal bicategories and Hopf algebroids, Adv. Math. 129 (1997), 99-157. | MR | Zbl
and ,[14] Braided Compact Closed Categories with Applications to Low Dimensional Topology, Adv. Math. 77 (1989), 156-182. | MR | Zbl
and ,[15] Coherence for tricategories, Mem. Amer. Math. Soc. 117 (1995), no. 558. | MR | Zbl
, , and ,[16] Formal category theory: adjointness in 2-categories", vol. 391 of Lecture Notes in Math., Springer Verlag, New York, 1974. | MR | Zbl
, "[17] On weak higher dimensional categories, J. Pure Appl. Algebra (to appear). | Zbl
, , and ,[18] The combinatorics of n-categorical pasting, J. Pure Appl. Algebra 62 (1989), 211-225. | MR | Zbl
,[19] letter to A. Grothendieck, 1984.
,[20] The Geometry of Tensor Calculus, I, Adv. Math. 88 (1991), 55-112. | MR | Zbl
and ,[21] Tortile Yang-Baxter operators in tensor categories, J. Pure Appl. Algebra 71 (1991), 43-51. | MR | Zbl
and ,[22] Braided tensor categories, Adv. Math. 102 (1993), 20-78. | MR | Zbl
and ,[23] Braided monoidal 2-categories, 2-vector spaces and Zamolodchikov's tetrahedra equations, draft.
and ,[24] 2-categories and Zamolodchikov tetrahedra equations, in "Algebraic groups and their generalizations: quantum and infinite-dimensional methods", vol. 56 of Proc. Sympos. Pure Math., pp. 177-259, Amer. Math. Soc., Providence, RI, 1994. | MR | Zbl
and ,[25] Braided monoidal 2-categories and Manin-Schechtman higher braid groups, J. Pure Appl. Algebra 92 (1994), 241-267. | MR | Zbl
and ,[26] Quantum groups", vol. 155 of Graduate Texts in Math., Springer Verlag, New York, 1995. | MR | Zbl
, "[27] Basic concepts of enriched category theory", vol. 64 of London Math. Soc. Lecture Note Ser., Cambridge U. Press, 1982. | MR | Zbl
, "[28] Review of the elements of 2-categories, in "Proceedings of the Sydney Category Seminar 1973", vol. 420 of Lecture Notes in Math., pp. 75-103, Springer Verlag, New York, 1974. | MR | Zbl
and ,[29] Coherence for bicategories and indexed categories, J. Pure Appl. Algebra 37 (1985), 59-80. | MR | Zbl
and ,[30] The geometry of iterated loop-spaces", vol. 271 of Lecture Notes in Math., Springer Verlag, New York, 1972. | MR | Zbl
, "[31] Parity complexes, Cahiers Topologie Géom. Différentielle Catég. 32 (1991), 315-343. | Numdam | MR | Zbl
,[32] The definition of tetracategory, handwritten diagrams.
,