$L^\infty$ cohomology is intersection cohomology
Guillaume Valette
Abstract
Open-access reader
Guillaume Valette
Abstract
Open-access reader
Let $X$ be any subanalytic compact pseudomanifold. We show a De Rham theorem for $L^\infty$ forms. We prove that the cohomology of $L^\infty$ forms is isomorphic to intersection cohomology in the maximal perversity.
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Let $X$ be any subanalytic compact pseudomanifold. We show a De Rham theorem for $L^\infty$ forms. We prove that the cohomology of $L^\infty$ forms is isomorphic to intersection cohomology in the maximal perversity.
Key concepts: Cohomology, Intersection (aeronautics), Mathematics, De Rham cohomology, Pure mathematics, Intersection homology, Equivariant cohomology, Geography