On the symplectic structure of instanton moduli spaces
| dc.creator | Bielawski, Roger | |
| dc.creator | Pidstrygach, Victor | |
| dc.date | 2008-12-29 | |
| dc.date | 2009-03-20 | |
| dc.date.accessioned | 2026-07-07T12:54:11Z | |
| dc.date.available | 2026-07-07T12:54:11Z | |
| dc.description | We study the complex symplectic structure of the quiver varieties corresponding to the moduli spaces of SU(2) instantons on both commutative and non-commutative R^4. We identify global Darboux coordinates and quadratic Hamiltonians on classical phase spaces for which these quiver varieties are natural completions. We also show that the group of non-commutative symplectomorphisms of the corresponding path algebra acts transitively on the moduli spaces of non-commutative instantons. This paper should be viewed as a step towards extending known results for Calogero-Moser spaces to the instanton moduli spaces. | |
| dc.description | couple of misprints corrected | |
| dc.identifier | https://arxiv.org/abs/0812.4918 | |
| dc.identifier | http://arxiv.org/abs/0812.4918 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/223842 | |
| dc.subject | Symplectic Geometry | |
| dc.subject | 58F07; 37K20 | |
| dc.title | On the symplectic structure of instanton moduli spaces | |
| dc.type | text |