Primitive du cocycle de Maslov généralisé
| dc.creator | Clerc, Jean-Louis | |
| dc.creator | Koufany, Khalid | |
| dc.date | 2004-03-21 | |
| dc.date.accessioned | 2026-07-07T05:06:34Z | |
| dc.date.available | 2026-07-07T05:06:34Z | |
| dc.description | Let $\mathcal{D}$ be a Hermitian symmetric space of tube type, and let $S$ be its Shilov boundary. We give a realization of the universal covering $\widetilde{S}$ of $S$. Then we describe on $\widetilde{S}$ a primitive for the generalized Maslov cocycle as defined in [{\it Transform. Groups} {\bf 6} (2001), 303-320] and [{\it J. Math. Pures Appl.} {\bf 83} (2004), 99-114]. It generalizes the Souriau index in the case of the Lagrangian manifold. A variation of this construction yields a generalization of the Arnold-Leray-Maslov index. This primitive is used to generalize the symplectic rotation number. | |
| dc.description | 39 pages; 2 figures; uses xy-pic; New Version Comment : A few typos corrected | |
| dc.identifier | https://arxiv.org/abs/math/0403330 | |
| dc.identifier | http://arxiv.org/abs/math/0403330 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/70518 | |
| dc.subject | Differential Geometry | |
| dc.subject | Group Theory | |
| dc.subject | 32M15; 53D12; 15A66 | |
| dc.title | Primitive du cocycle de Maslov généralisé | |
| dc.type | text |