Stratifications of Marsden-Weinstein reductions for representations of quivers and deformations of symplectic quotient singularities
| dc.creator | Martino, Maurizio | |
| dc.date | 2006-03-23 | |
| dc.date.accessioned | 2026-07-07T07:07:11Z | |
| dc.date.available | 2026-07-07T07:07:11Z | |
| dc.description | We investigate the Poisson geometry of the Marsden-Weinstein reductions of the moment map associated to the cotangent bundle of the space of representations of a quiver. We show that the stratification by representation type equals the stratification by symplectic leaves. The deformed symplectic quotient singularities - spectra of centres of symplectic reflection algebras associated to a wreath product - are shown to be isomorphic to reductions of a certain quiver. This establishes a method to calculate when these deformations are smooth. Furthermore, the isomorphism identifies symplectic leaves and so one can give a description of their symplectic leaves in terms of roots of the quiver. | |
| dc.description | 28 pages, no figures | |
| dc.identifier | https://arxiv.org/abs/math/0603562 | |
| dc.identifier | http://arxiv.org/abs/math/0603562 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/110300 | |
| dc.subject | Representation Theory | |
| dc.subject | Algebraic Geometry | |
| dc.subject | 14B07; 16G20 | |
| dc.title | Stratifications of Marsden-Weinstein reductions for representations of quivers and deformations of symplectic quotient singularities | |
| dc.type | text |