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  Dimensional reduction, extended topological field theories and orbifoldization

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.

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Item Permalink: https://hdl.handle.net/21.11116/0000-0007-6651-B Version Permalink: https://hdl.handle.net/21.11116/0000-0007-6652-A
Genre: Journal Article

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2004.04689.pdf (Preprint), 214KB
 
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https://doi.org/10.1112/blms.12427 (Publisher version)
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 Creators:
Müller, Lukas1, Author           
Woike, Lukas, Author
Affiliations:
1Max Planck Institute for Mathematics, Max Planck Society, ou_3029201              

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Free keywords: Mathematics, Quantum Algebra, Mathematical Physics, Algebraic Topology
 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.

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Language(s): eng - English
 Dates: 2020
 Publication Status: Accepted / In Press
 Pages: -
 Publishing info: -
 Table of Contents: -
 Rev. Type: Peer
 Identifiers: arXiv: 2004.04689
DOI: 10.1112/blms.12427
 Degree: -

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Title: Bulletin of the London Mathematical Society
  Abbreviation : Bull. London Math. Soc.
Source Genre: Journal
 Creator(s):
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Publ. Info: Wiley
Pages: - Volume / Issue: - Sequence Number: Early view Online - Print pending Start / End Page: - Identifier: -