Framed Rank r Torsion-free Sheaves on CP^2 and Representations of the Affine Lie Algebra \hat{gl(r)}
| dc.creator | Licata, Anthony | |
| dc.date | 2006-07-26 | |
| dc.date.accessioned | 2026-07-07T07:21:00Z | |
| dc.date.available | 2026-07-07T07:21:00Z | |
| dc.description | We construct geometric realizations of the r-colored bosonic and fermionic Fock space on the equivariant cohomology of the moduli space of framed rank r torsion-free sheaves on CP^2. Using these constructions, we realize geometrically all level one irreducible representations of the affine Lie algebra \hat{gl(r)}. The cyclic group Z_k acts naturally on the moduli space of sheaves, and the fixed-point components of this action are cyclic Nakajima quiver varieties . We realize level k irreducible representations of \hat{gl(r)} on the equivariant cohomology of these quiver varieties. | |
| dc.description | 32 pages | |
| dc.identifier | https://arxiv.org/abs/math/0607690 | |
| dc.identifier | http://arxiv.org/abs/math/0607690 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/115152 | |
| dc.subject | Representation Theory | |
| dc.subject | Algebraic Geometry | |
| dc.title | Framed Rank r Torsion-free Sheaves on CP^2 and Representations of the Affine Lie Algebra \hat{gl(r)} | |
| dc.type | text |