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

Abstract

We introduce a Bohr–Sommerfeld quantization for bsymplectic toric manifolds and show that it coincides with the formal geometric quantization of $\href{ https://mathscinet.ams.org/mathscinet/relay-station?mr=3804693}{[\textrm{GMW18b}]}$. 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.