Refined intersection homology on non-Witt spaces

DOI10.1142/S1793525315500065zbMath1316.55002arXiv1308.3725OpenAlexW2963859853MaRDI QIDQ5496337

Paolo Piazza, Pierre Albin, Eric Leichtnam, Markus Banagl, Rafe R. Mazzeo

Publication date: 30 January 2015

Published in: Journal of Topology and Analysis (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1308.3725

zbMATH Keywords

stratified spacesintersection homologyde Rham theorem

Mathematics Subject Classification ID

Stratifications; constructible sheaves; intersection cohomology (complex-analytic aspects) (32S60) Stratified sets (58A35) Intersection homology and cohomology in algebraic topology (55N33) Stratifications in topological manifolds (57N80)

Related Items (5)

The index formula for families of Dirac type operators on pseudomanifolds ⋮ The \(L\)-homology fundamental class for IP-spaces and the stratified Novikov conjecture ⋮ Topological and Hodge L-classes of singular covering spaces and varieties with trivial canonical class ⋮ Hodge theory on Cheeger spaces ⋮ On the L2-Poincaré duality for incomplete Riemannian manifolds: A general construction with applications

Cites Work

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• Witt Spaces: A Geometric Cycle Theory for KO-Homology at Odd Primes
• On the spectral geometry of spaces with cone-like singularities
• Notes on Topological Stability
• Analytic and geometric study of stratified spaces

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