Bohr-Sommerfeld quantization of $b$-symplectic toric manifolds
Symplectic Geometry
2025-09-01 v1 Mathematical Physics
Differential Geometry
math.MP
Abstract
We define the Bohr-Sommerfeld quantization via -modules for a -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.
Keywords
Cite
@article{arxiv.2203.03340,
title = {Bohr-Sommerfeld quantization of $b$-symplectic toric manifolds},
author = {Pau Mir and Eva Miranda and Jonathan Weitsman},
journal= {arXiv preprint arXiv:2203.03340},
year = {2025}
}
Comments
19 pages, 4 figures