Cohomology of Flat Principal Bundles

DOI10.1017/S0013091517000475zbMath1421.53030OpenAlexW2805024838MaRDI QIDQ5228178

Yanghyun Byun, Joohee Kim

Publication date: 9 August 2019

Published in: Proceedings of the Edinburgh Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1017/s0013091517000475

zbMATH Keywords

adjoint bundleflat principal bundlede Rham Cohomology

Mathematics Subject Classification ID

Connections (general theory) (53C05) Spectral sequences and homology of fiber spaces in algebraic topology (55R20)

Cites Work

• Chern-Simons functional under gauge transformations on flat bundles
• Topology and analysis. The Atiyah-Singer index formula and gauge- theoretic physics. Transl. from the German by D. D. Bleecker and A. Mader
• Energy identity for anti-self-dual instantons on \(\mathbb C\times\Sigma\)
• Classification of principal bundles and Lie groupoids with prescribed gauge group bundle
• Self-dual instantons and holomorphic curves
• On the existence of a connection with curvature zero
• Cohomology Theory of Lie Groups and Lie Algebras
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