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Journal Article

Dimensional reduction, extended topological field theories and orbifoldization

MPS-Authors
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Müller,  Lukas
Max Planck Institute for Mathematics, Max Planck Society;

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Fulltext (public)

2004.04689.pdf
(Preprint), 214KB

Supplementary Material (public)
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Citation

Müller, L., & Woike, L. (in press). Dimensional reduction, extended topological field theories and orbifoldization. Bulletin of the London Mathematical Society, Early view Online - Print pending. doi:10.1112/blms.12427.


Cite as: http://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.