University of Toronto's Symplectic Geometry Seminar

Nov. 28 2002, 3pm

Reyer Sjamaar

Cornell University

A de Rham theorem for symplectic quotients

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 (in ordinary cohomology theory with real coefficients), even on a singular symplectic quotient. These classes are nonzero if the quotient is compact.