A de Rham theorem for symplectic quotients

Reyer Sjamaar

Vol. 220 (2005), No. 1, 153–166

DOI: 10.2140/pjm.2005.220.153

Abstract

We introduce a de Rham model for stratified spaces arising from symplectic reduction. It turns out that the reduced symplectic form and its powers give rise to well-defined cohomology classes, even on a singular symplectic quotient.

Keywords

symplectic reduction, de Rham theory

Mathematical Subject Classification 2000

Primary: 53D20, 58A12

Milestones

Received: 11 July 2002

Accepted: 9 March 2005

Published: 1 May 2005