2009•arXiv (Cornell University)Open access

$L^\infty$ cohomology is intersection cohomology

Guillaume Valette

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Abstract

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.

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Available abstract

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

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