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arXiv · 2104.12742

Frobenius-Schur Indicators and the Mapping Class Group of the Torus

Julian Farnsteiner·Christoph Schweigert
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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 $\mathrm{SL}(2,\mathbb{Z})$-equivariance of these indicators.

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Julian Farnsteiner, Christoph Schweigert. 2021-04-26. Frobenius-Schur Indicators and the Mapping Class Group of the Torus. https://doi.org/10.1007/s11005-022-01513-6

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