Symplectic algebroids, groupoid Toeplitz operators and deformation quantization
Fuente:
arXiv
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| Autori principali: | , , |
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| Natura: | Preprint |
| Pubblicazione: |
2026
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| _version_ | 1866910122111926272 |
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| author | Cren, Clément Lescure, Jean-Marie Mohsen, Omar |
| author_facet | Cren, Clément Lescure, Jean-Marie Mohsen, Omar |
| contents | 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. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2604_10370 |
| institution | arXiv |
| publishDate | 2026 |
| record_format | arxiv |
| spellingShingle | Symplectic algebroids, groupoid Toeplitz operators and deformation quantization Cren, Clément Lescure, Jean-Marie Mohsen, Omar Symplectic Geometry Differential Geometry Operator Algebras 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. |
| title | Symplectic algebroids, groupoid Toeplitz operators and deformation quantization |
| topic | Symplectic Geometry Differential Geometry Operator Algebras |
| url | https://arxiv.org/abs/2604.10370 |