# An Obstruction to Quantization of the Sphere

#### Abstract

In the standard example of strict deformation quantization of the symplectic sphere S, the set of allowed values of the quantization parameter h̄ is not connected. Li recently constructed a class of examples (including S) in which h̄ can take any value in an interval, but these examples are badly behaved. Here, I identify a natural additional axiom for strict deformation quantization and prove that it implies that the parameter set for quantizing S is never connected.

### Cite this paper

@inproceedings{Hawkins2008AnOT, title={An Obstruction to Quantization of the Sphere}, author={Eli Hawkins}, year={2008} }