A cellular topological field theory

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.

Ver. 2: numerous expository improvements

References in corpus (1)

• Perturbative quantum gauge theories on manifolds with boundary

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