Poincaré duality for \(L^p\) cohomology on subanalytic singular spaces

DOI10.1007/S00208-021-02151-4zbMath1470.32020arXiv2001.05186OpenAlexW3121805400MaRDI QIDQ2035592

Guillaume Valette

Publication date: 25 June 2021

Published in: Mathematische Annalen (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2001.05186

zbMATH Keywords

Poincaré duality\(L^p\) differential formssubanalytic submanifolds

Mathematics Subject Classification ID

Real-analytic and semi-analytic sets (14P15) Semi-analytic sets, subanalytic sets, and generalizations (32B20) Real-analytic and Nash manifolds (58A07) Real-analytic manifolds, real-analytic spaces (32C05)

Related Items (2)

Linear isoperimetric inequality for normal and integral currents in compact subanalytic sets ⋮ Poincaré inequality on subanalytic sets

Cites Work

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• Intersection homology. II
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• Semianalytic and subanalytic sets
• Intersection homology theory
• Sobolev spaces of differential forms and de Rham-Hodge isomorphism
• \(L_ 2\)-cohomology of Kähler varieties with isolated singularities
• \(L^ p\) cohomology of cones and horns
• Geometry of subanalytic and semialgebraic sets
• Sobolev inequalities for differential forms and \(L_{q,p}\)-cohomology
• Simplicial Differential Forms with Poles
• On the spectral geometry of spaces with cone-like singularities
• Horizontally-C1 controlled stratified maps and Thom's first isotopy theorem
• Łojasiewicz inequality at singular points
• An isomorphism from intersection homology to L p -cohomology
• Stokes' formula for stratified forms
• The link of the germ of a semi-algebraic metric space

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