Bordered invariants from Khovanov homology

Autor:	Hogancamp, Matthew, Rose, David E. V., Wedrich, Paul
Rok vydání:	2024
Předmět:	Mathematics - Geometric Topology Mathematics - Quantum Algebra Mathematics - Representation Theory 57K16 18N25 57K18 18N10
Druh dokumentu:	Working Paper
Popis:	To every compact oriented surface that is composed entirely out of 2-dimensional 0- and 1-handles, we construct a dg category using structures arising in Khovanov homology. These dg categories form part of the 2-dimensional layer (a.k.a. modular functor) of a categorified version of the sl(2) Turaev--Viro topological field theory. As a byproduct, we obtain a unified perspective on several hitherto disparate constructions in categorified quantum topology, including the Rozansky--Willis invariants, Asaeda--Przytycki--Sikora homologies for links in thickened surfaces, categorified Jones--Wenzl projectors and associated spin networks, and dg horizontal traces. Comment: 58 pages, best viewed in color, comments welcome
Databáze:	arXiv
Externí odkaz:	http://arxiv.org/abs/2404.06301 Zobrazit plný text záznamu View this record from Arxiv