# University of Toronto's Symplectic Geometry Seminar

Monday March 14, 2005, 14:10--15:00

SS 5017A

## Greg Landweber

###
University of Oregon and Fields Institute

##
Kirwan surjectivity for K-theory

** Abstract: **
Let (M,\omega) be a Hamiltonian G-space
with a proper moment map \mu. We give a surjectivity result which
expresses the K-theory of the symplectic quotient of M in terms
of the K-theory of the original manifold M, under certain technical
conditions on \mu. This result is a natural K-theoretic analogue of
the Kirwan surjectivity theorem in symplectic geometry.