Application of prismatic constructions to gauge field theory (Q428825)
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scientific article; zbMATH DE number 6049364
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Application of prismatic constructions to gauge field theory |
scientific article; zbMATH DE number 6049364 |
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Application of prismatic constructions to gauge field theory (English)
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25 June 2012
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Prismatic sets where introduced in [\textit{J. L. Dupont} and \textit{R. Ljungmann}, Math. Scand. 97, No. 1, 11--39 (2005; Zbl 1101.14024)] in order to have a construction of an integration map in smooth Deligne theory. The author gives a connection in a bundle over the prismatic subdivision of a simplicial set \(S\) using the classifying map. Also the author provides the evaluation of the Chern-Simons form for the prismatic subdivision and the variational formula for the Chern-Simons classes of a given bundle with a connection.
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simplicial set
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characteristic class
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Chern-Simons theory
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prismatic subdivision
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Deligne cohomology
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