English

$L^\infty$ cohomology is intersection cohomology

Algebraic Geometry 2012-07-09 v2 Differential Geometry

Abstract

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

Keywords

Cite

@article{arxiv.0912.0713,
  title  = {$L^\infty$ cohomology is intersection cohomology},
  author = {Guillaume Valette},
  journal= {arXiv preprint arXiv:0912.0713},
  year   = {2012}
}

Comments

Appendix on subanalytic geometry added