A cellular topological field theory. (English) Zbl 1514.81235
Summary: 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.
MSC:
| 81T45 | Topological field theories in quantum mechanics |
| 81T70 | Quantization in field theory; cohomological methods |
| 58D29 | Moduli problems for topological structures |
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