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

Physics – High Energy Physics – High Energy Physics - Theory

Scientific paper

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14 pages, LaTeX, 3 ps figures included

Scientific paper

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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