Bohr-Sommerfeld quantization of $b$-symplectic toric manifolds
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arXiv
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| Main Authors: | , , |
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| Format: | Preprint |
| Published: |
2022
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| _version_ | 1866916923825979392 |
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| author | Mir, Pau Miranda, Eva Weitsman, Jonathan |
| author_facet | Mir, Pau Miranda, Eva Weitsman, Jonathan |
| contents | We define the Bohr-Sommerfeld quantization via $T$-modules for a $b$-symplectic toric manifold and show that it coincides with the formal geometric quantization of [GMW18b]. In particular, we prove that its dimension is given by a signed count of the integral points in the moment polytope of the toric action on the manifold. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2203_03340 |
| institution | arXiv |
| publishDate | 2022 |
| record_format | arxiv |
| spellingShingle | Bohr-Sommerfeld quantization of $b$-symplectic toric manifolds Mir, Pau Miranda, Eva Weitsman, Jonathan Symplectic Geometry Mathematical Physics Differential Geometry We define the Bohr-Sommerfeld quantization via $T$-modules for a $b$-symplectic toric manifold and show that it coincides with the formal geometric quantization of [GMW18b]. In particular, we prove that its dimension is given by a signed count of the integral points in the moment polytope of the toric action on the manifold. |
| title | Bohr-Sommerfeld quantization of $b$-symplectic toric manifolds |
| topic | Symplectic Geometry Mathematical Physics Differential Geometry |
| url | https://arxiv.org/abs/2203.03340 |