Asymptotic representations of Hamiltonian diffeomorphisms and quantization

Groups, geometry, and dynamics

article

Laurent Charles¹  Leonid Polterovich³ 

[1] Sorbonne Université;Université de Paris;Tel Aviv University

关键词: Symplectic manifold;    Hamiltonian diffeomorphism;    Berezin–Toeplitz quantization;    asymptotic representation;   

DOI  :  10.4171/ggd/696

学科分类：神经科学

来源: European Mathematical Society

【 摘 要 】

We show that for a special class of geometric quantizations with “small” quantum errors, the quantum classical correspondence gives rise to an asymptotic projective unitary representation of the group of Hamiltonian diffeomorphisms. As an application, we get an obstruction to Hamiltonian actions of finitely presented groups.

【 授权许可】

CC BY