Symplectic algebroids, groupoid Toeplitz operators and deformation quantization
Overview & Synopsis
We use Toeplitz operators to define a star-product on Poisson manifolds whose Poisson structure is induced by a symplectic Lie algebroid. The Toeplitz operators we consider are defined on groupoids whose algebroid can be endowed with a Heisenberg group structure on the fibers. This generalizes an approach due to Guillemin and Melrose in the symplectic case.
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Document Information
| Document Title | Symplectic algebroids, groupoid Toeplitz operators and deformation quantization |
|---|---|
| Author / Organization | Clément Cren, Jean-Marie Lescure, Omar Mohsen |
| Subject & Discipline | Multidisciplinary Academic Open Research |
| Categories | Science & Mathematics |
| Publication Year | 2026 |
| License / Rights | Open Access / Creative Commons |
| Resource Verification | Listed PDF (Verification Pending) |
| Original Host Website |
HAL Open Science
(hal.science)
|
| File Format | application/pdf (Portable Document Format) |
| Language | EN |
| Catalog ID | DOC-196172 |
| Original Source Link | Visit Source Page on hal.science » |