Frobenius-Schur Indicators and the Mapping Class Group of the Torus
Quantum Algebra
2022-04-27 v1
Abstract
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 -equivariance of these indicators.
Keywords
Cite
@article{arxiv.2104.12742,
title = {Frobenius-Schur Indicators and the Mapping Class Group of the Torus},
author = {Julian Farnsteiner and Christoph Schweigert},
journal= {arXiv preprint arXiv:2104.12742},
year = {2022}
}
Comments
29 pages