Gerbes, 2-gerbes and symplectic fibrations
| dc.creator | Aristide, Tsemo | |
| dc.date | 2005-04-13 | |
| dc.date.accessioned | 2026-07-07T05:19:05Z | |
| dc.date.available | 2026-07-07T05:19:05Z | |
| dc.description | Let (F,u)\to P\to N be a symplectic fibration in math.SG/0503268 McDuff has defined a subgroup Ham^s(F,u) of the group of symplectic automorphisms of(F,u). She has shown that the cohomology class [u] of u can be extended to P if and only if the symplectic fibration has an Ham^s reduction. To show this result, she constructs a class who represents the obstruction to extend u. This class can be identified to a 3-class of P using a spectral sequence. The purpose of this paper is to define a 2-gerbe whose classifying cocycle is the class defined by McDuff. To define this 2-gerbe, we construct fundamental gerbes in Dirac geometry which represents the obstruction of [u] to be exact or integral. Using this gerbes we propose a quantization of symplectic manifolds | |
| dc.description | 42 pages, 21 references | |
| dc.identifier | https://arxiv.org/abs/math/0504274 | |
| dc.identifier | http://arxiv.org/abs/math/0504274 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/74887 | |
| dc.subject | Differential Geometry | |
| dc.title | Gerbes, 2-gerbes and symplectic fibrations | |
| dc.type | text |