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  A cellular topological field theory

Cattaneo, A. S., Mnëv, P., & Reshetikhin, N. (2020). A cellular topological field theory. Communications in Mathematical Physics, 374(2), 1229-1320. doi:10.1007/s00220-020-03687-3.

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Item Permalink: https://hdl.handle.net/21.11116/0000-0005-EDEC-7 Version Permalink: https://hdl.handle.net/21.11116/0000-000D-EADE-2
Genre: Journal Article

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1701.05874.pdf (Preprint), 2MB
 
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https://doi.org/10.1007/s00220-020-03687-3 (Publisher version)
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 Creators:
Cattaneo, Alberto S., Author
Mnëv, Pavel1, Author           
Reshetikhin, Nicolai, Author
Affiliations:
1Max Planck Institute for Mathematics, Max Planck Society, ou_3029201              

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Free keywords: Mathematics, Algebraic Topology, High Energy Physics - Theory, Mathematical Physics, Mathematics, Geometric Topology, Mathematics, Mathematical Physics, Mathematics, Quantum Algebra
 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.

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Language(s): eng - English
 Dates: 2020
 Publication Status: Issued
 Pages: Ver. 2: numerous expository improvements
 Publishing info: -
 Table of Contents: -
 Rev. Type: Peer
 Identifiers: arXiv: 1701.05874
DOI: 10.1007/s00220-020-03687-3
 Degree: -

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Title: Communications in Mathematical Physics
Source Genre: Journal
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Pages: - Volume / Issue: 374 (2) Sequence Number: - Start / End Page: 1229 - 1320 Identifier: -