\(L^{\infty}\) cohomology is intersection cohomology

DOI10.1016/j.aim.2012.07.020zbMath1258.14024arXiv0912.0713OpenAlexW2023517567MaRDI QIDQ456783

Guillaume Valette

Publication date: 16 October 2012

Published in: Advances in Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/0912.0713

zbMATH Keywords

differential formsde Rham cohomologyintersection homologysubanalytic setsPoincaré lemmasingular setsperversitypseudomanifolds

Mathematics Subject Classification ID

de Rham cohomology and algebraic geometry (14F40) Mixed Hodge theory of singular varieties (complex-analytic aspects) (32S35) Integration on analytic sets and spaces, currents (32C30)

Related Items (10)

Linear isoperimetric inequality for normal and integral currents in compact subanalytic sets ⋮ \(L^p\)-cohomology, heat semigroup and stratified spaces ⋮ Symplectic manifolds, \(L^p\)-cohomology and \(q\)-parabolicity ⋮ On the geometry of polynomial mappings at infinity ⋮ On the local geometry of definably stratified sets ⋮ A Lefschetz duality for intersection homology ⋮ Cohomology of flat currents on definable pseudomanifolds ⋮ Poincaré duality for \(L^p\) cohomology on subanalytic singular spaces ⋮ ON A SINGULAR VARIETY ASSOCIATED TO A POLYNOMIAL MAPPING ⋮ Intersection Homology

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• \(L^ 2\)-cohomology of normal algebraic surfaces. I
• Intersection homology. II
• Spectral geometry of singular Riemannian spaces
• Lipschitz triangulations
• \(L_ 2\)-cohomology and intersection homology of certain algebraic varieties with isolated singularities
• Semianalytic and subanalytic sets
• Intersection homology theory
• \(L_ 2\)-cohomology of Kähler varieties with isolated singularities
• \(L^ p\) cohomology of cones and horns
• Théorème de préparation pour les fonctions logarithmico-exponentielles. (Preparation theorem for logarithmico-exponential functions)
• Geometric categories and o-minimal structures
• On metric types that are definable in an o-minimal structure
• Simplicial Differential Forms with Poles
• On the spectral geometry of spaces with cone-like singularities
• Lipschitz stratification of subanalytic sets
• De Rham Theorem for L^\infty forms and homology on singular spaces

This page was built for publication: \(L^{\infty}\) cohomology is intersection cohomology