(Bi)modules, morphismes et réduction des star-produits: le cas symplectique, feuilletages et obstructions
| dc.creator | Bordemann, Martin | |
| dc.date | 2004-03-20 | |
| dc.date.accessioned | 2026-07-07T05:06:35Z | |
| dc.date.available | 2026-07-07T05:06:35Z | |
| dc.description | (Bi)modules, morphisms and reduction of star-products are studied in a framework of multidifferential operators along maps: morphisms deform Poisson maps and representations on functions spaces deform coisotropic maps. If a star-product is representable on a coisotropic submanifold, is is equivalent to a star-product for which the vanishing ideal is a left ideal. If the reduced phase space exists, a star-product with suitable Deligne class is representable and the reduced algebra is the commutant of this module (hence a bimodule). Obstructions to representability to third order are related to the Atiyah-Molino class of the foliation of the coisotropic submanifold, and the same kind of obstructions occurs for the quantisation of a Poisson map between symplectic manifolds. For vanishing Atiyah-Molino class, the representation and morphism problem is solvable. | |
| dc.description | 133 pages, paper in French, Latex2e | |
| dc.identifier | https://arxiv.org/abs/math/0403334 | |
| dc.identifier | http://arxiv.org/abs/math/0403334 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/70522 | |
| dc.subject | Quantum Algebra | |
| dc.subject | Symplectic Geometry | |
| dc.subject | 53D55, 53D20, 53D17, 53C12 | |
| dc.title | (Bi)modules, morphismes et réduction des star-produits: le cas symplectique, feuilletages et obstructions | |
| dc.type | text |