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arXiv · 2203.03340

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

Pau Mir·Eva Miranda·Jonathan Weitsman
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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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BibTeXRIS

Pau Mir, Eva Miranda, Jonathan Weitsman. 2022-03-07. Bohr-Sommerfeld quantization of $b$-symplectic toric manifolds. https://doi.org/10.4310/pamq.2023.v19.n4.a15

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