Deformation Quantization of Lagrangian Fiber Bundles
| dc.creator | Reshetikhin, Nicolai | |
| dc.creator | Yakimov, Milen | |
| dc.date | 1999-07-24 | |
| dc.date | 2000-12-19 | |
| dc.date.accessioned | 2026-07-07T05:30:04Z | |
| dc.date.available | 2026-07-07T05:30:04Z | |
| dc.description | Let (M, \om) be a symplectic manifold. A Lagrangian fiber bundle π: M -> B determines a completely integrable system on M. First integrals of this system are the pull-backs of functions on the base of the bundle. We show that for each Lagrangian fiber bundle πthere exist star products on C^\infty(M)[[h]] which do not deform the pointwise multiplication on the subalgebra π^*(C^\infty (B)) [[h]]. The set of equivalence classes of such star products is in bijection with formal deformations of the symplectic structure \om for which π: M -> B remains Lagrangian taken modulo formal symplectomorphisms of M. | |
| dc.description | 24 pages, Latex2e, corrected typos | |
| dc.identifier | https://arxiv.org/abs/math/9907164 | |
| dc.identifier | http://arxiv.org/abs/math/9907164 | |
| dc.identifier | Conference Moshe Flato 1999, vol. 2, 269-288, Kluwer Acad. Publ. 2000 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/78875 | |
| dc.subject | Quantum Algebra | |
| dc.title | Deformation Quantization of Lagrangian Fiber Bundles | |
| dc.type | text |