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Higher-Dimensional Algebra I: Braided Monoidal 2-Categories (1996)
| Content Provider | CiteSeerX |
|---|---|
| Author | Baez, John C. Neuchl, Martin |
| Abstract | We begin with a brief sketch of what is known and conjectured concerning braided monoidal 2-categories and their relevance to 4d TQFTs and 2-tangles. Then we give concise definitions of semistrict monoidal 2-categories and braided monoidal 2-categories, and show how these may be unpacked to give long explicit definitions similar to, but not quite the same as, those given by Kapranov and Voevodsky. Finally, we describe how to construct a semistrict braided monoidal 2-category Z(C) as the `center' of a semistrict monoidal category C, in a manner analogous to the construction of a braided monoidal category as the center of a monoidal category. As a corollary this yields a strictification theorem for braided monoidal 2-categories. 1 Introduction This is the first of a series of articles developing the program introduced in the paper `Higher-Dimensional Algebra and Topological Quantum Field Theory' [1], henceforth referred to as `HDA'. This program consists of generalizing algebraic concep... |
| File Format | |
| Volume Number | 121 |
| Journal | Adv. Math |
| Language | English |
| Publisher Date | 1996-01-01 |
| Access Restriction | Open |
| Subject Keyword | Monoidal 2-categories Higher-dimensional Algebra Monoidal Category Strictification Theorem Braided Monoidal 2-categories Algebraic Concep Semistrict Monoidal 2-categories Semistrict Monoidal Category Topological Quantum Field Theory Brief Sketch Monoidal 2-category Long Explicit Definition Concise Definition |
| Content Type | Text |
| Resource Type | Article |
