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

Anthony M. Licata

doi:10.1016/j.aim.2010.06.005

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 journal › Article › peer-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 language	English
Pages (from-to)	1057-1095
Number of pages	39
Journal	Advances in Mathematics
Volume	226
Issue number	2
DOIs	https://doi.org/10.1016/j.aim.2010.06.005
Publication status	Published - 30 Jan 2011
Externally published	Yes

Access to Document

10.1016/j.aim.2010.06.005

Cite this

@article{102af06d125d4ee0aca30abbe63cf16c,

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

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.",

keywords = "Infinite dimensional Lie algebra, Moduli space of sheaves, Representation Theory",

author = "Licata, \{Anthony M.\}",

year = "2011",

month = jan,

day = "30",

doi = "10.1016/j.aim.2010.06.005",

language = "English",

volume = "226",

pages = "1057--1095",

journal = "Advances in Mathematics",

issn = "0001-8708",

publisher = "Academic Press Inc.",

number = "2",

}

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 - https://www.scopus.com/pages/publications/78149496544

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 -

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

Abstract

Access to Document

Other files and links

Fingerprint

Cite this