On a quasimorphism of Hamiltonian diffeomorphisms and quantization
Symplectic Geometry
2019-10-14 v1 Mathematical Physics
math.MP
Abstract
In the setting of geometric quantization, we associate to any prequantum bundle automorphism a unitary map of the corresponding quantum space. These maps are controlled in the semiclassical limit by two invariants of symplectic topology: the Calabi morphism and a quasimorphism of the universal cover of the Hamiltonian diffeomorphism group introduced by Entov, Py, Shelukhin.
Keywords
Cite
@article{arxiv.1910.05073,
title = {On a quasimorphism of Hamiltonian diffeomorphisms and quantization},
author = {Laurent Charles},
journal= {arXiv preprint arXiv:1910.05073},
year = {2019}
}