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Pré-Publication, Document De Travail Année : 2023

On a quasimorphism of Hamiltonian diffeomorphisms and quantization

Résumé

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.

Dates et versions

hal-02423676 , version 1 (24-12-2019)

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Laurent Charles. On a quasimorphism of Hamiltonian diffeomorphisms and quantization. 2019. ⟨hal-02423676⟩
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