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On a quasimorphism of Hamiltonian diffeomorphisms and quantization

By Laurent CHARLES

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

Topics: [PHYS.MPHY]Physics [physics]/Mathematical Physics [math-ph]
Publisher: HAL CCSD
Year: 2019
OAI identifier: oai:HAL:hal-02423676v1
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