Dimensional reduction, extended topological field theories and orbifoldization

Müller, Lukas; Woike, Lukas

doi:10.1112/blms.12427

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Dimensional reduction, extended topological field theories and orbifoldization

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Müller, Lukas
Max Planck Institute for Mathematics, Max Planck Society;

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https://doi.org/10.1112/blms.12427
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Citation

Müller, L., & Woike, L. (2021). Dimensional reduction, extended topological field theories and orbifoldization. Bulletin of the London Mathematical Society, 53(2), 392-403. doi:10.1112/blms.12427.

Cite as: https://hdl.handle.net/21.11116/0000-0007-6651-B

Abstract

We prove a decomposition formula for the dimensional reduction of an extended
topological field theory that arises as an orbifold of an equivariant topological field theory. Our decomposition formula can be expressed in terms of a categorification of the integral with respect to groupoid cardinality. The application of our result to topological field theories of Dijkgraaf-Witten type proves a recent conjecture of Qiu-Wang.