University of Toronto's Symplectic Geometry Seminar
Nov. 28 2002, 3pm
SS1078
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.