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Media type:
E-Article
Title:
Frobenius–Schur indicators and the mapping class group of the torus
Contributor:
Farnsteiner, Julian;
Schweigert, Christoph
Published:
Springer Science and Business Media LLC, 2022
Published in:
Letters in Mathematical Physics, 112 (2022) 2
Language:
English
DOI:
10.1007/s11005-022-01513-6
ISSN:
0377-9017;
1573-0530
Origination:
Footnote:
Description:
AbstractThe 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$$\mathrm {SL}(2,\mathbb {Z})$$SL(2,Z)-equivariance of these indicators.