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We define the Bohr-Sommerfeld quantization via $T$-modules for a$b$-symplectic toric manifold and show that it coincides with the formalgeometric quantization of [GMW18b]. In particular, we prove that its dimensionis given by a signed count of the integral points in the moment polytope of thetoric action on the manifold.

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