Bohr-Sommerfeld quantization of b-symplectic toric manifolds

2022/03/07 by Mir, Pau, Miranda, Eva, Weitsman, Jonathan · 1 citation
#Differential Geometry (math.DG) #FOS: Mathematics #FOS: Physical sciences #Mathematical Physics (math-ph) #Symplectic Geometry (math.SG)

paper · doi:10.48550/arxiv.2203.03340

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.

Cited by

• Non-Symplectic Deformations of Geometric Quantisation

Related

• Locally toric manifolds and singular Bohr-Sommerfeld leaves
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• Bohr-Sommerfeld Star Products
• Geometric quantization of b-symplectic manifolds
• Quantization and isotropic submanifolds