University of Toronto's Symplectic Geometry Seminar

Feburary 5, 2007, 3:10pm
BA 2165

Eckhard Meinrenken

Toronto University

Twisted K-homology and group-valued moment maps

Abstract: According to the Freed-Hopkins-Teleman theorem, the twisted equivariant K-homology of a simple Lie group G at level k is equal to the fusion ring R_k(G). In this talk, I will explain how to define the quantization of group-valued moment maps as a K-homology push-forward. The resulting element in R_k(G) is computed by localization.