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arXiv · 1701.05874

A cellular topological field theory

Alberto S. Cattaneo·Pavel Mnev·Nicolai Reshetikhin
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Abstract

We present a construction of cellular BF theory (in both abelian and non-abelian variants) on cobordisms equipped with cellular decompositions. Partition functions of this theory are invariant under subdivisions, satisfy a version of the quantum master equation, and satisfy Atiyah-Segal-type gluing formula with respect to composition of cobordisms.

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BibTeXRIS

Alberto S. Cattaneo, Pavel Mnev, Nicolai Reshetikhin. 2017-01-20. A cellular topological field theory. https://doi.org/10.1007/s00220-020-03687-3

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