Perverse Bundles and Calogero-Moser Spaces
| dc.creator | Ben-Zvi, David | |
| dc.creator | Nevins, Thomas | |
| dc.date | 2006-10-03 | |
| dc.date | 2007-11-01 | |
| dc.date.accessioned | 2026-07-07T08:39:48Z | |
| dc.date.available | 2026-07-07T08:39:48Z | |
| dc.description | We present a simple description of moduli spaces of torsion-free D-modules (``D-bundles'') on general smooth complex curves X, generalizing the identification of the space of ideals in the Weyl algebra with Calogero-Moser quiver varieties. Namely, we show that the moduli of D-bundles form twisted cotangent bundles to stacks of torsion sheaves on X, answering a question of Ginzburg. The corresponding (untwisted) cotangent bundles are identified with moduli of ``perverse vector bundles'' on T^*X, which contain as open subsets the moduli of framed torsion-free sheaves (the Hilbert schemes (T^*X)^[n] in the rank one case). The proof is based on the description of the derived category of D-modules on X by a noncommutative version of the Beilinson transform on the projective line. | |
| dc.description | v2: Expanded exposition, including additional background and references on DG categories | |
| dc.identifier | https://arxiv.org/abs/math/0610097 | |
| dc.identifier | http://arxiv.org/abs/math/0610097 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/141200 | |
| dc.subject | Algebraic Geometry | |
| dc.title | Perverse Bundles and Calogero-Moser Spaces | |
| dc.type | text |