\(\mathcal L^ 2\)-cohomologie des espaces stratifiés. (\(\mathcal L^ 2\)- cohomology of stratified spaces)
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Publication:1201419
DOI10.1007/BF02567744zbMath0762.53015MaRDI QIDQ1201419
Gilbert Hector, Martintxo E. Saralegi-Aranguren, Jean-Paul Brasselet
Publication date: 17 January 1993
Published in: Manuscripta Mathematica (Search for Journal in Brave)
Full work available at URL: https://eudml.org/doc/155737
Foliations (differential geometric aspects) (53C12) Stratifications; constructible sheaves; intersection cohomology (complex-analytic aspects) (32S60) Other homology theories in algebraic topology (55N35)
Related Items (11)
General perversities and \(L^2\) de Rham and Hodge theorems for stratified pseudomanifolds ⋮ Witten's perturbation on strata with general adapted metrics ⋮ Weighted Hodge cohomology of iterated fibred cusp metrics ⋮ \(L^p\)-cohomology, heat semigroup and stratified spaces ⋮ Poincaré duality with cap products in intersection homology ⋮ Sobolev spaces and Bochner Laplacian on complex projective varieties and stratified pseudomanifolds ⋮ \(q\)-parabolicity of stratified pseudomanifolds and other singular spaces ⋮ Hodge cohomology of some foliated boundary and foliated cusp metrics ⋮ A DE RHAM ISOMORPHISM IN SINGULAR COHOMOLOGY AND STOKES THEOREM FOR STRATIFOLDS ⋮ \(K\)-duality for stratified pseudomanifolds ⋮ Intersection Homology
Cites Work
- Intersection homology. II
- Stratified mappings - structure and triangulability
- \(L^ 2\)-cohomology and intersection homology of stratified spaces
- Theorème de De Rham pour les variétés stratifiées. (The De Rham theorem for stratified manifolds)
- Topological invariance of intersection homology without sheaves
- Intersection homology theory
- Ensembles et morphismes stratifiés
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