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arXiv · 1801.03762

On geometric quantization of $b^m$-symplectic manifolds

Victor Guillemin·Eva Miranda·Jonathan Weitsman
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Abstract

We study the formal geometric quantization of $b^m$-symplectic manifolds equipped with Hamiltonian actions of a torus $T$ with nonzero leading modular weight. The resulting virtual $T$-modules are finite dimensional when $m$ is odd, as in [GMW2]; when $m$ is even, these virtual modules are not finite dimensional, and we compute the asymptotics of the representations for large weight.

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Victor Guillemin, Eva Miranda, Jonathan Weitsman. 2019-09-23. On geometric quantization of $b^m$-symplectic manifolds. https://arxiv.org/abs/1801.03762

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