L^∞ cohomology is intersection cohomology

2009/12/03 by Guillaume Valette, Valette, Guillaume · 2 citations
Mathematics · #Algebraic Geometry and Number Theory #Geometry and complex manifolds #Mathematical Dynamics and Fractals #math.AG #math.DG #msc:14F40 #msc:32C30 #msc:32S3

paper · pdf · doi:10.48550/arxiv.0912.0713

Appendix on subanalytic geometry added

arxiv created 2012/07/06 · arxiv updated 2012/07/09

Abstract

Let X be any subanalytic compact pseudomanifold. We show a De Rham theorem for L^∞ forms. We prove that the cohomology of L^∞ forms is isomorphic to intersection cohomology in the maximal perversity.

Cited by

• A Lefschetz duality intersection homology
• Geometry of polynomial mappings at infinity via intersection homology

Related

• Poincaré duality for L^p cohomology on subanalytic singular spaces
• L¹ cohomology of bounded subanalytic manifolds
• De Rham Theorem for L^∞ forms and homology on singular spaces
• L^p Hodge theory for bounded subanalytic manifolds
• General perversities and L² de Rham and Hodge theorems for stratified pseudomanifolds