On geometric quantization of $$b^m$$ b m -symplectic manifolds
Abstract We study the formal geometric quantization of $$b^m$$ b m -symplectic...
| Main Authors: | , , |
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| Other Authors: | |
| Format: | Article |
| Language: | English |
| Published: |
Springer Berlin Heidelberg
2021
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| Online Access: | https://hdl.handle.net/1721.1/136828 |
| Summary: | 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. |
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