Riemannian foliations and geometric quantization
Symplectic Geometry
2022-09-29 v1 Differential Geometry
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.
Cite
@article{arxiv.2209.13766,
title = {Riemannian foliations and geometric quantization},
author = {Yi Lin and Yiannis Loizides and Reyer Sjamaar and Yanli Song},
journal= {arXiv preprint arXiv:2209.13766},
year = {2022}
}
Comments
48 pages