A Cellular Topological Field Theory

Open Access
Authors
Publication date 03-2020
Journal Communications in Mathematical Physics
Volume | Issue number 374 | 2
Pages (from-to) 1229-1320
Organisations
  • Faculty of Science (FNWI) - Korteweg-de Vries Institute for Mathematics (KdVI)
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.
Document type Article
Language English
Published at
https://doi.org/10.1007/s00220-020-03687-3 (Final published version)
Published at
https://arxiv.org/abs/1701.05874 (Submitted manuscript)
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