Asymptotic representations of Hamiltonian diffeomorphisms and quantization
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Publication:6348962
DOI10.4171/GGD/696arXiv2009.05856MaRDI QIDQ6348962
Leonid Polterovich, Laurent Charles
Publication date: 12 September 2020
Abstract: We show that for a special class of geometric quantizations with "small" quantum errors, the quantum classical correspondence gives rise to an asymptotic projective representation of the group of Hamiltonian diffeomorphisms. As an application, we get an obstruction to Hamiltonian actions of finitely presented groups.
Geometry and quantization, symplectic methods (81S10) Global theory of symplectic and contact manifolds (53D35) Geometric quantization (53D50)
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