Gauge equivalence of Dirac structures and symplectic groupoids
| dc.creator | Bursztyn, Henrique | |
| dc.creator | Radko, Olga | |
| dc.date | 2002-02-12 | |
| dc.date | 2002-10-21 | |
| dc.date.accessioned | 2026-07-07T04:46:23Z | |
| dc.date.available | 2026-07-07T04:46:23Z | |
| dc.description | We study gauge transformations of Dirac structures and the relationship between gauge and Morita equivalences of Poisson manifolds. We describe how the symplectic structure of a symplectic groupoid is affected by a gauge transformation of the Poisson structure on its identity section, and prove that gauge-equivalent integrable Poisson structures are Morita equivalent. As an example, we study certain generic sets of Poisson structures on Riemann surfaces: we find complete gauge-equivalence invariants for such structures which, on the 2-sphere, yield a complete invariant of Morita equivalence. | |
| dc.description | 22 pages. Corrections made in Section 6.1, typos fixed and one reference added. To appear in Ann. Inst. Fourier | |
| dc.identifier | https://arxiv.org/abs/math/0202099 | |
| dc.identifier | http://arxiv.org/abs/math/0202099 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/63312 | |
| dc.subject | Symplectic Geometry | |
| dc.subject | Mathematical Physics | |
| dc.subject | Differential Geometry | |
| dc.title | Gauge equivalence of Dirac structures and symplectic groupoids | |
| dc.type | text |