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Braided monoidal 2-categories and Manin-Schechtman higher braid groups
| Content Provider | Semantic Scholar |
|---|---|
| Author | Kapranov, Mikhail Voevodsky, Vladimir |
| Copyright Year | 1994 |
| Abstract | Abstract We study a certain coherence problem for braided monoidal 2-categories. For ordinary braided monoidal categories such a problem is well known to lead to braid groups: If we denote by T(n) the pure braid group on n strands then this group acts naturally on each product A1 ⊗ · ⊗ An. It turns out that in the 2-categorical case we have to consider the so-called higher braid group T(2,n) introduced by Manin and Schechtman. The main result is that T(2,n) naturally acts by 2-automorphisms on the canonical 1-morphism A1 ⊗ · ⊗ An → An⊗ · ⊗ A1 for any objects A1,…, An. |
| Starting Page | 241 |
| Ending Page | 267 |
| Page Count | 27 |
| File Format | PDF HTM / HTML |
| DOI | 10.1016/0022-4049(94)90097-3 |
| Volume Number | 92 |
| Alternate Webpage(s) | https://www.math.ias.edu/vladimir/sites/math.ias.edu.vladimir/files/braided_monoidal_published.pdf |
| Alternate Webpage(s) | https://doi.org/10.1016/0022-4049%2894%2990097-3 |
| Language | English |
| Access Restriction | Open |
| Content Type | Text |
| Resource Type | Article |
