On Geometric Quantization of b^m-symplectic manifolds
We study the formal geometric quantization of bm-symplectic manifolds equipped with Hamiltonian actions of a torus T with nonzero leading modular weight. The resulting virtual T-modules are finite dimensional when m is odd, as in [4]; when m is even, these virtual modules are not finite dimensional,...
| Autores: | , , |
|---|---|
| Tipo de recurso: | artículo |
| Fecha de publicación: | 2020 |
| País: | España |
| Institución: | Universitat Politècnica de Catalunya (UPC) |
| Repositorio: | UPCommons. Portal del coneixement obert de la UPC |
| Idioma: | inglés |
| OAI Identifier: | oai:upcommons.upc.edu:2117/332418 |
| Acceso en línea: | https://hdl.handle.net/2117/332418 https://dx.doi.org/10.1007/s00209-020-02590-w |
| Access Level: | acceso abierto |
| Palabra clave: | Topological manifolds Varietats topològiques Àrees temàtiques de la UPC::Matemàtiques i estadística::Topologia::Varietats topològiques |
| Sumario: | We study the formal geometric quantization of bm-symplectic manifolds equipped with Hamiltonian actions of a torus T with nonzero leading modular weight. The resulting virtual T-modules are finite dimensional when m is odd, as in [4]; when m is even, these virtual modules are not finite dimensional, and we compute the asymptotics of the representations for large weight. |
|---|