On geometric quantization of b-symplectic manifolds
Name
1608.08667.pdf
Description
Submitted version
Size
109.48 KB
Format
Unknown
Checksum (MD5)
9f6debf0386a119c301602477f4e3b25
Author(s)
Guillemin, Victor W
Miranda, Eva
Weitsman, Jonathan
Date Issued
2018
Journal
Advances in Mathematics
Publisher
Elsevier BV
Version
Original manuscript
Abstract
© 2018 Elsevier Inc. 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.
MIT Department
Massachusetts Institute of Technology. Department of Mathematics
Terms of Use
Creative Commons Attribution-NonCommercial-NoDerivs License
Persistent DSpace Link
DOI of Published Version
https://doi.org/10.1016/J.AIM.2018.04.003
