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Bohr-Sommerfeld quantization of b-symplectic toric manifolds

Authors :
Miranda Galcerán, Eva
Mir Garcia, Pau
Weitsman, Jonathan
Universitat Politècnica de Catalunya. Departament de Matemàtiques
Universitat Politècnica de Catalunya. GEOMVAP - Geometria de Varietats i Aplicacions
Source :
UPCommons. Portal del coneixement obert de la UPC, Universitat Politècnica de Catalunya (UPC)
Publication Year :
2022

Abstract

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. 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. Finançat pel projecte ICREA ACADEMIA 2016-05 i ICREA ACADEMIA 2021

Details

Language :
English
Database :
OpenAIRE
Journal :
UPCommons. Portal del coneixement obert de la UPC, Universitat Politècnica de Catalunya (UPC)
Accession number :
edsair.dedup.wf.001..71c2fa91712eb9a8d7fe0e9eb061079c