 

HoHon Leung
Ktheory of weight varieties view print


Published: 
March 17, 2011

Keywords: 
Kirwan surjectivity, flag variety, weight variety, equivariant Ktheory, symplectic quotient 
Subject: 
53D20; 14M15, 19L47 


Abstract
Let T be a compact torus and (M,ω) a Hamiltonian Tspace. We give a new proof of the Ktheoretic analogue of the Kirwan surjectivity theorem in symplectic geometry (see HaradaLandweber, 2007) by using the equivariant version of the Kirwan map introduced in Goldin, 2002. We compute the kernel of this equivariant Kirwan map, and hence give a computation of the kernel of the Kirwan map. As an application, we find the presentation of the kernel of the Kirwan map for the Tequivariant Ktheory of flag varieties G/T where G is a compact, connected and simplyconnected Lie group. In the last section, we find explicit formulae for the Ktheory of weight varieties.


Author information
Department of Mathematics, Malott Hall, Cornell University, Ithaca, New York 148534201 USA
hohonleung@math.cornell.edu

