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arXiv · hep-th/9507146

A connection between lattice and surgery constructions of three-dimensional topological field theories

Masako Asano·Saburo Higuchi
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Abstract

We study the relation between lattice construction and surgery construction of three-dimensional topological field theories. We show that a class of the Chung-Fukuma-Shapere theory on the lattice has representation theoretic reformulation which is closely related to the Altschuler-Coste theory constructed by surgery. There is a similar relation between the Turaev-Viro theory and the Reshetikhin-Turaev theory.

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Masako Asano, Saburo Higuchi. 1995-07-27. A connection between lattice and surgery constructions of three-dimensional topological field theories. https://doi.org/10.1142/s0217732395002970

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