$L^\infty$ cohomology is intersection cohomology

Details $L^\infty$ cohomology is intersection cohomology $L^\infty$ cohomology is intersection cohomology

2009-12-03

arxiv.org/abs/0912.0713v1

Mathematics

Algebraic Geometry

Scientific paper

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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