Bohr-Sommerfeld quantization of $b$-symplectic toric manifolds

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.

19 pages, 4 figures

References in corpus (2)

• On geometric quantization of $b$-symplectic manifolds
• Convexity of the moment map image for torus actions on $b^m$-symplectic manifolds