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arXiv · 1608.08667

On geometric quantization of $b$-symplectic manifolds

Victor Guillemin·Eva Miranda·Jonathan Weitsman
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Abstract

We study a notion of pre-quantization for $b$-symplectic manifolds. We use it to construct a formal geometric quantization of $b$-symplectic manifolds equipped with Hamiltonian torus actions with nonzero modular weight. We show that these quantizations are finite dimensional $T$-modules.

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BibTeXRIS

Victor Guillemin, Eva Miranda, Jonathan Weitsman. 2016-08-30. On geometric quantization of $b$-symplectic manifolds. https://doi.org/10.1016/j.aim.2018.04.003

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