Framed torsion-free sheaves on CP2, Hilbert schemes, and representations of infinite dimensional Lie algebras

Date

2011

Authors

Licata, Anthony

Journal Title

Journal ISSN

Volume Title

Publisher

Academic Press

Abstract

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.

Description

Keywords

Keywords: Infinite dimensional Lie algebra; Moduli space of sheaves; Representation Theory

Citation

Source

Advances in Mathematics

Type

Journal article

Book Title

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Restricted until

2037-12-31