On braiding, syllapses and symmetries

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1. [1] J. Adams, "Infinite loop spaces", Princeton U. Press, Princeton, 1978. Zbl0398.55008MR505692
2. [2] J.C. Baez and J. Dolan, Higher dimensional algebra and Topological Quantum Field Theory, Jour. Math. Phys.36 (1995), 6073-6105. Zbl0863.18004MR1355899
3. [3] J.C. Baez and J. Dolan, Higher dimensional algebra III: n-categories and the algebra of opetopes, Adv. Math.135 (1998), 145-206. Zbl0909.18006MR1620826
4. [4] J.C. Baez and L. Langford, 2-tangles, Lett. Math. Phys.43 (1998), 187-197. Zbl0905.57017MR1607351
5. [5] J.C. Baez and M. Neuchl, Higher dimensional algebra I. Braided monoidal 2-categories, Adv. Math.121 (1996), 196-244. Zbl0855.18008MR1402727
6. [6] M.A. Batanin, Monoidal globular categories as natural environment for the theory of weak n-categories, Adv. Math.136 (1998), 39-103. Zbl0912.18006MR1623672
7. [7] L. Breen, On the classification of 2-gerbes and 2-stacks, Astérisque225 (1994). Zbl0818.18005MR1301844
8. [8] R. Brown and N.D. Gilbert, Algebraic models of 3-types and automorphism structures for crossed modules, Proc. London Math. Soc.59 (1989), 51-73. Zbl0645.18007MR997251
9. [9] S.E. Crans, "On combinatorial models for higher dimensional homotopies", Ph.D. thesis, Utrecht University, 1995. 
10. [10] S.E. Crans, Generalized centers of braided and sylleptic monoidal 2-categories, Adv. Math.136 (1998), 183-223. Zbl0908.18004MR1626844
11. [11] S.E. Crans, A tensor product for Gray-categories, Preprint 97/222, Macquarie University. Zbl0914.18006MR1667313
12. [12] S.E. Crans, Higher dimensional Zamolodchikov and Yang-Baxter equations, in preparation. Zbl0991.18006
13. [13] B. Day and R. Street, Monoidal bicategories and Hopf algebroids, Adv. Math.129 (1997), 99-157. Zbl0910.18004MR1458415
14. [14] P.J. Freyd and D.N. Yetter, Braided Compact Closed Categories with Applications to Low Dimensional Topology, Adv. Math.77 (1989), 156-182. Zbl0679.57003MR1020583
15. [15] R. Gordon, A.J. Power, and R. Street, Coherence for tricategories, Mem. Amer. Math. Soc.117 (1995), no. 558. Zbl0836.18001MR1261589
16. [16] J.W. Gray, "Formal category theory: adjointness in 2-categories", vol. 391 of Lecture Notes in Math., Springer Verlag, New York, 1974. Zbl0285.18006MR371990
17. [17] C. Hermida, M. Makkai, and J. Power, On weak higher dimensional categories, J. Pure Appl. Algebra (to appear). Zbl0985.18006
18. [18] M. Johnson, The combinatorics of n-categorical pasting, J. Pure Appl. Algebra62 (1989), 211-225. Zbl0694.18007MR1026875
19. [19] A. Joyal, letter to A. Grothendieck, 1984. 
20. [20] A. Joyal and R. Street, The Geometry of Tensor Calculus, I, Adv. Math.88 (1991), 55-112. Zbl0738.18005MR1113284
21. [21] A. Joyal and R. Street, Tortile Yang-Baxter operators in tensor categories, J. Pure Appl. Algebra71 (1991), 43-51. Zbl0726.18004MR1107651
22. [22] A. Joyal and R. Street, Braided tensor categories, Adv. Math.102 (1993), 20-78. Zbl0817.18007MR1250465
23. [23] M.M. Kapranov and V.A. Voevodsky, Braided monoidal 2-categories, 2-vector spaces and Zamolodchikov's tetrahedra equations, draft. Zbl0791.18010
24. [24] M.M. Kapranov and V.A. Voevodsky, 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. Zbl0809.18006MR1278735
25. [25] M.M. Kapranov and V.A. Voevodsky, Braided monoidal 2-categories and Manin-Schechtman higher braid groups, J. Pure Appl. Algebra92 (1994), 241-267. Zbl0791.18010MR1266348
26. [26] C. Kassel, "Quantum groups", vol. 155 of Graduate Texts in Math., Springer Verlag, New York, 1995. Zbl0808.17003MR1321145
27. [27] G.M. Kelly, "Basic concepts of enriched category theory", vol. 64 of London Math. Soc. Lecture Note Ser., Cambridge U. Press, 1982. Zbl0478.18005MR651714
28. [28] G.M. Kelly and R. Street, 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. Zbl0334.18016MR357542
29. [29] S. Mac Lane and R. Paré, Coherence for bicategories and indexed categories, J. Pure Appl. Algebra37 (1985), 59-80. Zbl0567.18003MR794793
30. [30] J.P. May, "The geometry of iterated loop-spaces", vol. 271 of Lecture Notes in Math., Springer Verlag, New York, 1972. Zbl0244.55009MR420610
31. [31] R. Street, Parity complexes, Cahiers Topologie Géom. Différentielle Catég.32 (1991), 315-343. Zbl0760.18011MR1165827
32. [32] T. Trimble, The definition of tetracategory, handwritten diagrams.