Deformation quantization modules on complex symplectic manifolds
| dc.creator | Schapira, Pierre | |
| dc.date | 2007-04-23 | |
| dc.date | 2007-06-20 | |
| dc.date.accessioned | 2026-07-07T08:10:57Z | |
| dc.date.available | 2026-07-07T08:10:57Z | |
| dc.description | We study modules over the algebroid stack $\W[\stx]$ of deformation quantization on a complex symplectic manifold $\stx$ and recall some results: construction of an algebra for $\star$-products, existence of (twisted) simple modules along smooth Lagrangian submanifolds, perversity of the complex of solutions for regular holonomic $\W[\stx]$-modules, finiteness and duality for the composition of ``good'' kernels. As a corollary, we get that the derived category of good $\W[\stx]$-modules with compact support is a Calabi-Yau category. We also give a conjectural Riemann-Roch type formula in this framework. | |
| dc.description | To appear in the Proceedings of the Poisson 2006 (Tokyo), AMS Contemporary Mathematics | |
| dc.identifier | https://arxiv.org/abs/0704.3007 | |
| dc.identifier | http://arxiv.org/abs/0704.3007 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/131971 | |
| dc.subject | Quantum Algebra | |
| dc.subject | Algebraic Geometry | |
| dc.subject | 46L65, 14A20, 32C38, 53D55 | |
| dc.title | Deformation quantization modules on complex symplectic manifolds | |
| dc.type | text |