Bohr-Sommerfeld quantization of b-symplectic toric manifolds

Abstract

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.