Cohomologie d’intersection modérée. Un théorème de de Rham

Bohumil Cenkl, Gilbert Hector and Martintxo Saralegi-Aranguren

Vol. 169 (1995), No. 2, 235–289

DOI: 10.2140/pjm.1995.169.235

Abstract

With a singular space K there is associated a differential graded module of polynomial differential forms IT_p^∗,∗(K) together with a filtration IT_p^∗,q(K) ⊂ IT_p^∗,q+1(K) in each degree ∗. IT_p^∗,q(K) is a graded module over the subring of the rationale Q_q = Z,,…,. These modules are defined for any stratified pseudomanifold K and for any perversity p. It is proved that the cohomology of such a differential module IT_p^∗,q(K) is isomorphic to the intersection cohomology IH_p^∗(K;Q_q). The construction of IT_p^∗,∗(K) is based on the deRham complex of Cenkl and Porter when applied to a desingularization of K.

Mathematical Subject Classification 2000

Primary: 55N33

Secondary: 14F32, 55P62, 57P10

Milestones

Received: 10 December 1992

Published: 1 June 1995