Chern-Simons functional under gauge transformations on flat bundles

DOI10.1016/j.geomphys.2016.09.012zbMath1353.53027OpenAlexW2531866708MaRDI QIDQ347417

Yanghyun Byun, Joohee Kim

Publication date: 30 November 2016

Published in: Journal of Geometry and Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.geomphys.2016.09.012

zbMATH Keywords

Chern-Simons functional defined by a reference connectiondegree of a gauge transformationglobal Maurer-Cartan \(3\)-form on the adjoint bundle of a flat bundle

Mathematics Subject Classification ID

Applications of global differential geometry to the sciences (53C80) Eta-invariants, Chern-Simons invariants (58J28) Connections (general theory) (53C05)

Related Items (3)

Moduli spaces of \(G_2\)-instantons and \(\mathrm{Spin}(7)\)-instantons on product manifolds ⋮ Cohomology of Flat Principal Bundles ⋮ Intersection space cohomology of three-strata pseudomanifolds

Cites Work

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• Classification of principal bundles and Lie groupoids with prescribed gauge group bundle
• Characteristic forms and geometric invariants
• Remarks on Chern-Simons theory
• Homotopy Groups of Compact Lie Groups E₆, E₇ and E₈
• Cohomology Theory of Lie Groups and Lie Algebras

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