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arXiv · 2209.13766

Riemannian foliations and geometric quantization

Yi Lin·Yiannis Loizides·Reyer Sjamaar·Yanli Song
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Abstract

We introduce geometric quantization for constant rank presymplectic structures with Riemannian null foliation and compact leaf closure space. We prove a quantization-commutes-with-reduction theorem in this context. Examples related to symplectic toric quasi-folds, suspensions of isometric actions of discrete groups, and K-contact manifolds are discussed.

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Yi Lin, Yiannis Loizides, Reyer Sjamaar, Yanli Song. 2022-09-28. Riemannian foliations and geometric quantization. https://arxiv.org/abs/2209.13766

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