University of Toronto's Symplectic Geometry Seminar
Feb. 2, 2004, 2:10 - 3 PM
SS5017A
Yi Lin
Cornell University
Equivariant symplectic Hodge theory and the $d\delta$-lemma
Abstract: Consider a Hamiltonian action of a compact Lie
group on a symplectic manifold which has strong Lefschetz
property. In this talk I will discuss an equivariant version of the
Mekulove-Guillemin $d \delta$-lemma and an improved version of the
Kirwan-Ginzburg equivariant formality theorem, which says that every
cohomology class has a canonical equivariant extension. This is a
joint work with Reyer Sjamaar.