arXiv:1206.2308

Kitaev's Lattice Model and Turaev-Viro TQFTs

Benjamin Balsam, Kirillov, Alexander

Published Jun 11, 2012• 27 citations

Abstract

In this paper, we examine Kitaev's lattice model for an arbitrary complex, semisimple Hopf algebra. We prove that this model gives the same topological invariants as Turaev-Viro theory. Using the description of Turaev-Viro theory as an extended TQFT, we prove that the excited states of the Kitaev model correspond to Turaev-Viro theory on a surface with boundary.

DOI: 10.48550/arxiv.1206.2308

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