Asymptotic representations of Hamiltonian diffeomorphisms and quantization

نویسندگان

چکیده

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

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ژورنال

عنوان ژورنال: Groups, Geometry, and Dynamics

سال: 2022

ISSN: ['1661-7207', '1661-7215']

DOI: https://doi.org/10.4171/ggd/696