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

Anthony M. Licata*

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review

2 Citations (Scopus)

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.

Original languageEnglish
Pages (from-to)1057-1095
Number of pages39
JournalAdvances in Mathematics
Volume226
Issue number2
DOIs
Publication statusPublished - 30 Jan 2011
Externally publishedYes

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