Isometric group actions and the cohomology of flat fiber bundles

DOI10.4171/GGD/183zbMath1275.55008arXiv1105.0811OpenAlexW2963354747MaRDI QIDQ355378

Markus Banagl

Publication date: 24 July 2013

Published in: Groups, Geometry, and Dynamics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1105.0811

zbMATH Keywords

Euler classequivariant cohomologyflat bundlesaspherical manifoldscohomology of fiber bundlesdiscrete torsion-free transformation groupsisometric group actionsSerre spectral sequence

Mathematics Subject Classification ID

Equivariant homology and cohomology in algebraic topology (55N91) Fibrewise topology (55R70) Spectral sequences and homology of fiber spaces in algebraic topology (55R20)

Related Items (5)

Intersection space constructible complexes ⋮ Algebraic intersection spaces ⋮ Extended Hodge theory for fibred cusp manifolds ⋮ Intersection space cohomology of three-strata pseudomanifolds ⋮ Hodge theory for intersection space cohomology

Cites Work

• A Hodge-type theorem for manifolds with fibered cusp metrics
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• On the existence of a connection with curvature zero
• Adiabatic Limits, Nonmultiplicativity of Signature, and Leray Spectral Sequence
• Characteristic Classes. (AM-76)
• Rational computations of the topological K-theory of classifying spaces of discrete groups
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