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CMS Coxeter-James Lecture / Conférence Coxeter-James de la SMC
- LISA JEFFREY, Department of Mathematics, University of Toronto, Toronto,
Ontario M5S 3G3
Symplectic quotients and their cohomology
[PDF] -
Suppose M is a manifold equipped with a nondegenerate closed 2-form
(a symplectic manifold, the generalization of the phase spaces of
classical mechanics). If M has a symmetry group which acts
preserving the symplectic form, it is often possible to divide out the
symmetry group and form a new symplectic manifold, the symplectic
quotient. In this lecture I shall talk about one problem which has
occupied my recent research, which is the determination of the
cohomology of the symplectic quotient: as a group (dimensions of
cohomology groups) and as a ring (cup product or intersection
pairing).
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