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arXiv · 1206.2308

Kitaev's Lattice Model and Turaev-Viro TQFTs

Benjamin Balsam·Alexander Kirillov Jr
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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.

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BibTeXRIS

Benjamin Balsam, Alexander Kirillov Jr. 2012-06-11. Kitaev's Lattice Model and Turaev-Viro TQFTs. https://arxiv.org/abs/1206.2308

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