Moduli spaces of sheaves on surfaces in geometric representation theory
Posted on:2008-10-18
Degree:Ph.D
Type:Dissertation
University:Yale University
Candidate:Licata, Anthony M
Full Text:PDF
GTID:1440390005978611
Subject:Mathematics
Abstract/Summary:
We define correspondences inside moduli spaces of framed torsion-free sheaves on P2 and show that they induce actions of Heisenberg and Clifford algebras on equivariant cohomology. These constructions give a geometric realization of level one representations of type A affine Lie algebras.