Bohr-Sommerfeld quantization of b-symplectic toric manifolds

We introduce a Bohr-Sommerfeld quantization for b-symplectic toric manifolds 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 torus action on the m...

Descripción completa

Detalles Bibliográficos
Autores: Mir, P., Miranda, E., Weitsman, J.
Tipo de recurso: artículo
Estado:Versión aceptada para publicación
Fecha de publicación:2023
País:España
Institución:Varias* (Consorci de Biblioteques Universitáries de Catalunya, Centre de Serveis Científics i Acadèmics de Catalunya)
Repositorio:Recercat. Dipósit de la Recerca de Catalunya
OAI Identifier:oai:recercat.cat:2072/537114
Acceso en línea:http://hdl.handle.net/2072/537114
Access Level:acceso abierto
Palabra clave:Bohr-Sommerfeld quantization, Toric Manifolds, GMW18b
Descripción
Sumario:We introduce a Bohr-Sommerfeld quantization for b-symplectic toric manifolds 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 torus action on the manifold. © 2023, International Press, Inc. All rights reserved.