Asymptotic representations of Hamiltonian diffeomorphisms and quantization
Mathematical Physics
2020-10-14 v2 Dynamical Systems
math.MP
Symplectic Geometry
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.
Cite
@article{arxiv.2009.05856,
title = {Asymptotic representations of Hamiltonian diffeomorphisms and quantization},
author = {Laurent Charles and Leonid Polterovich},
journal= {arXiv preprint arXiv:2009.05856},
year = {2020}
}
Comments
21 pages, results on projective representations refined