Factorization homology and 4D TQFT

被引：1
作者：
Kirillov, Alexander, Jr. [1 ]
Tham, Ying Hong [1 ]
机构：
[1] SUNY Stony Brook, Dept Math, Stony Brook, NY 11794 USA
来源：
QUANTUM TOPOLOGY | 2022年 / 13卷 / 01期
关键词：
Extended topological field theory; TQFT; Crane-Yetter; factorization homology;
D O I：
10.4171/QT/159
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
In 2010, B. Balsam and A. Kirillov, Jr. showed that the Turaev-Viro invariants defined for a spherical fusion category A extends to invariants of 3-manifolds with corners. In 2021, A. Kirillov, Jr. described an equivalent formulation for the 2-1 part of the theory (2-manifolds with boundary) using the space of "stringnets with boundary conditions" as the vector spaces associated to 2-manifolds with boundary. Here we construct a similar theory for the 3-2 part of the 4-3-2 theory by L. Crane and D. Yetter (1993).
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收藏
页码：1 / 54
页数：54
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