Abstract
We deform the group of Hamiltonian diffeomorphisms into a group of Hamiltonian automorphisms, Ham(M,∗), of a formal star product ∗ on a symplectic manifold (M,ω). We study the geometry of that group and deform the Flux morphism in the framework of deformation quantization.
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This work benefited from an F.N.R.S. grant. It was also supported by an Action de Recherche Concentrée of the Communauté Française de Belgique and the Interuniversity Attraction Pole “Dynamics, Geometry and Statistical Physics” network.
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La Fuente-Gravy, L. The Group of Hamiltonian Automorphisms of a Star Product. Math Phys Anal Geom 19, 17 (2016). https://doi.org/10.1007/s11040-016-9221-1
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DOI: https://doi.org/10.1007/s11040-016-9221-1