Bohr–Sommerfeld quantization of b-symplectic toric manifolds
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 [Victor W. Guillemin, Eva Miranda, and Jonathan Weitsman. On geometric quantization of b-symplectic manifolds. Adv. Math., 331:941–951, 201...
| Autores: | , , |
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| Formato: | artículo |
| Fecha de publicación: | 2023 |
| País: | España |
| Recursos: | Universitat Politècnica de Catalunya (UPC) |
| Repositorio: | UPCommons. Portal del coneixement obert de la UPC |
| Idioma: | inglés |
| OAI Identifier: | oai:upcommons.upc.edu:2117/405007 |
| Acesso em linha: | https://hdl.handle.net/2117/405007 https://dx.doi.org/10.4310/PAMQ.2023.v19.n4.a15 |
| Access Level: | acceso abierto |
| Palavra-chave: | Geometry, Differential Symplectic geometry Geometric quantization Symplectic Geometry Differential Geometry Mathematical Physics Geometria diferencial Geometria simplèctica Classificació AMS::53 Differential geometry Àrees temàtiques de la UPC::Matemàtiques i estadística::Geometria::Geometria diferencial |
| Resumo: | 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 [Victor W. Guillemin, Eva Miranda, and Jonathan Weitsman. On geometric quantization of b-symplectic manifolds. Adv. Math., 331:941–951, 2018]. 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 |
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