\(L^ 2\)-cohomology and intersection homology of stratified spaces

DOI10.1215/S0012-7094-83-05015-9zbMath0545.55004OpenAlexW2075798501MaRDI QIDQ797185

Masayoshi Nagase

Publication date: 1983

Published in: Duke Mathematical Journal (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1215/s0012-7094-83-05015-9

zbMATH Keywords

singular locussingular space\(L^ 2\)-cohomology groupintersection homology grouplocal conesmetrics associated to a perversity

Mathematics Subject Classification ID

Singularities in algebraic geometry (14B05) Global theory and resolution of singularities (algebro-geometric aspects) (14E15) Intersection theory, characteristic classes, intersection multiplicities in algebraic geometry (14C17) Stratifications; constructible sheaves; intersection cohomology (complex-analytic aspects) (32S60) Other homology theories in algebraic topology (55N35) Stratifications in topological manifolds (57N80) Complex singularities (32Sxx)

Related Items

The fundamental solutions of the heat equations on Riemannian spaces with cone-like singular points ⋮ Intersection cohomology of \(\mathbb S^ 1\)-actions on pseudomanifolds. ⋮ General perversities and \(L^2\) de Rham and Hodge theorems for stratified pseudomanifolds ⋮ Witten's perturbation on strata with general adapted metrics ⋮ \(L^p\)-cohomology, heat semigroup and stratified spaces ⋮ \(L^2\)-harmonic forms on incomplete Riemannian manifolds with positive Ricci curvature ⋮ Poincaré duality, Hilbert complexes and geometric applications ⋮ Comparison between two complexes on a singular space ⋮ Comparison between two complexes on a singular space ⋮ Hodge and signature theorems for a family of manifolds with fibre bundle boundary ⋮ \(q\)-parabolicity of stratified pseudomanifolds and other singular spaces ⋮ \(\mathcal L^ 2\)-cohomologie des espaces stratifiés. (\(\mathcal L^ 2\)- cohomology of stratified spaces) ⋮ On the L2-Poincaré duality for incomplete Riemannian manifolds: A general construction with applications ⋮ Intersection Homology

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