On geometric quantization of $b$-symplectic manifolds
Symplectic Geometry
2018-07-03 v1 Mathematical Physics
Differential Geometry
math.MP
Abstract
We study a notion of pre-quantization for -symplectic manifolds. We use it to construct a formal geometric quantization of -symplectic manifolds equipped with Hamiltonian torus actions with nonzero modular weight. We show that these quantizations are finite dimensional -modules.
Keywords
Cite
@article{arxiv.1608.08667,
title = {On geometric quantization of $b$-symplectic manifolds},
author = {Victor Guillemin and Eva Miranda and Jonathan Weitsman},
journal= {arXiv preprint arXiv:1608.08667},
year = {2018}
}
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8 pages