On geometric quantization of $b$-symplectic manifolds

Published 30 Aug 2016 in math.SG, math-ph, math.DG, and math.MP | (1608.08667v1)

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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