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

Pau Mir, Eva Miranda, Jonathan Weitsman

公開日: 2022/3/7

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.

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