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  Dimensional reduction, extended topological field theories and orbifoldization

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.

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Item Permalink: https://hdl.handle.net/21.11116/0000-0007-6651-B Version Permalink: https://hdl.handle.net/21.11116/0000-0008-B29A-1
Genre: Journal Article

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2004.04689.pdf (Preprint), 214KB
 
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 Creators:
Müller, Lukas1, Author           
Woike, Lukas, Author
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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: 2021
 Publication Status: Issued
 Pages: -
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 Table of Contents: -
 Rev. Type: Peer
 Identifiers: arXiv: 2004.04689
DOI: 10.1112/blms.12427
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Title: Bulletin of the London Mathematical Society
  Abbreviation : Bull. London Math. Soc.
Source Genre: Journal
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Publ. Info: Wiley
Pages: - Volume / Issue: 53 (2) Sequence Number: - Start / End Page: 392 - 403 Identifier: -