On geometric quantization of $$b^m$$ b m -symplectic manifolds
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209_2020_2590_ReferencePDF.pdf
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Author(s)
Guillemin, Victor W
Miranda, Eva
Weitsman, Jonathan
Date Issued
August 25, 2020
Publisher
Springer Berlin Heidelberg
Version
Author's final manuscript
Abstract
Abstract
We study the formal geometric quantization of
$$b^m$$
b
m
-symplectic manifolds equipped with Hamiltonian actions of a torus T with nonzero leading modular weight. The resulting virtual
$$T-$$
T
-
modules are finite dimensional when m is odd, as in [4]; when m is even, these virtual modules are not finite dimensional, and we compute the asymptotics of the representations for large weight.
MIT Department
Massachusetts Institute of Technology. Department of Mathematics
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Creative Commons Attribution-Noncommercial-Share Alike
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DOI of Published Version
https://doi.org/10.1007/s00209-020-02590-w
