Equivariant differential characters and Chern-Simons bundles

DOI10.2140/agt.2021.21.1911zbMath1487.55013arXiv1907.00292OpenAlexW3194528063MaRDI QIDQ1983584

Roberto Ferreiro Pérez

Publication date: 10 September 2021

Published in: Algebraic \& Geometric Topology (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1907.00292

zbMATH Keywords

space of Riemannian metricsChern-Simons bundlespace of connectionsequivariant holonomyequivariant differential character

Mathematics Subject Classification ID

Equivariant homology and cohomology in algebraic topology (55N91) Issues of holonomy in differential geometry (53C29) Yang-Mills and other gauge theories in mechanics of particles and systems (70S15) Eta-invariants, Chern-Simons invariants (58J28) Differential geometric aspects of gerbes and differential characters (53C08)

Cites Work

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• Equivariant holonomy of U(1)-bundles
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• Equivariant differential cohomology
• Quantization and unitary representations
• The geometry of the bundle of connections

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