A 3-categorical perspective on G-crossed braided categories
组织者
演讲者
David Penneys
时间
2022年11月09日 09:00 至 10:30
地点
1131
线上
Zoom 537 192 5549
(BIMSA)
摘要
A braided monoidal category may be considered a -category with one object and one -morphism. In this paper, we show that, more generally, -categories with one object and -morphisms given by elements of a group correspond to -crossed braided categories, certain mathematical structures which have emerged as important
invariants of low-dimensional quantum field theories. More precisely, we show that the 4-category of -categories equipped with a 3-functor which is essentially surjective on objects and -morphisms is equivalent to the -category of -crossed braided categories.
This provides a uniform approach to various constructions of -crossed braided categories.
This is joint work with Corey Jones and David Reutter which has just appeared open access at https://londmathsoc.onlinelibrary.wiley.com/doi/10.1112/jlms.12687.