Frobenius-Schur indicators and the mapping class group of the torus

被引：1

作者：

Farnsteiner, Julian ^{[1
]}

Schweigert, Christoph ^{[1
]}

机构：

[1] Univ Hamburg, Bereich Algebra & Zahlentheorie, Fachbereich Math, Bundesstr 55, D-20146 Hamburg, Germany

来源：

LETTERS IN MATHEMATICAL PHYSICS | 2022年 / 112卷 / 02期

关键词：

Frobenius-Schur indicator; State-sum; Free boundary; Mapping class group; Spherical fusion category; Drinfeld center;

D O I：

10.1007/s11005-022-01513-6

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

The Turaev-Viro state sum invariant can be extended to 3-manifolds with free boundaries. We use this fact to describe generalized Frobenius-Schur indicators as Turaev-Viro invariants of solid tori. This provides a geometric understanding of the SL(2, Z)-equivariance of these indicators.

引用

页数：30

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