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Journal Article

A cellular topological field theory

MPS-Authors
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Mnëv,  Pavel
Max Planck Institute for Mathematics, Max Planck Society;

External Resource

https://doi.org/10.1007/s00220-020-03687-3
(Publisher version)

https://doi.org/10.48550/arXiv.1701.05874
(Preprint)

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Citation

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.


Cite as: https://hdl.handle.net/21.11116/0000-0005-EDEC-7
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.