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arXiv · 1009.1798

The Tambara-Yamagami categories and 3-manifold invariants

Vladimir Turaev·Leonid Vainerman
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Abstract

We prove that if two Tambara-Yamagami categories TY(A,\chi,\nu) and TY(A',\chi',\nu') give rise to the same state sum invariants of 3-manifolds and the order of one of the groups A, A' is odd, then \nu=\nu' and there is a group isomorphism A\approx A' carrying \chi to \chi'. The proof is based on an explicit computation of the state sum invariants for the lens spaces of type (k,1).

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BibTeXRIS

Vladimir Turaev, Leonid Vainerman. 2010-09-09. The Tambara-Yamagami categories and 3-manifold invariants. https://arxiv.org/abs/1009.1798

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