Frobenius-Schur Indicators and the Mapping Class Group of the Torus
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 SL(2,Z)-equivariance of these indicators.
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