Exact computations in topological abelian Chern-Simons and BF theories (Q1630287)
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| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Exact computations in topological abelian Chern-Simons and BF theories |
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Exact computations in topological abelian Chern-Simons and BF theories (English)
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10 December 2018
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Summary: We introduce Deligne cohomology that classifies \(U(1)\) fibre bundles over 3 manifolds endowed with connections. We show how the structure of Deligne cohomology classes provides a way to perform exact (nonperturbative) computations in \(U(1)\) Chern-Simons theory (BF theory, resp.) at the level of functional integrals. The partition functions (and observables) of these theories are strongly related to topological invariants well known to the mathematicians.
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