TY - JOUR
T1 - Framed torsion-free sheaves on CP2, Hilbert schemes, and representations of infinite dimensional Lie algebras
AU - Licata, Anthony M.
PY - 2011/1/30
Y1 - 2011/1/30
N2 - We construct representations of both Heiseberg and Clifford algebras on the equivariant cohomology of the moduli space of framed torsion-free sheaves on P2, as well as on the equivariant cohomology of the Hilbert scheme of points on the resolution of a type A simple singularity. This generalizes the earlier work of Nakajima, Grojnowski, and others.
AB - We construct representations of both Heiseberg and Clifford algebras on the equivariant cohomology of the moduli space of framed torsion-free sheaves on P2, as well as on the equivariant cohomology of the Hilbert scheme of points on the resolution of a type A simple singularity. This generalizes the earlier work of Nakajima, Grojnowski, and others.
KW - Infinite dimensional Lie algebra
KW - Moduli space of sheaves
KW - Representation Theory
UR - http://www.scopus.com/inward/record.url?scp=78149496544&partnerID=8YFLogxK
U2 - 10.1016/j.aim.2010.06.005
DO - 10.1016/j.aim.2010.06.005
M3 - Article
SN - 0001-8708
VL - 226
SP - 1057
EP - 1095
JO - Advances in Mathematics
JF - Advances in Mathematics
IS - 2
ER -