Let X be a connected orientable compact CR manifold with non-degenerate Levi form. In this paper, we study the algebra of Toeplitz operators on X and we establish star product for a certain class of symbols on X. In the second part of this paper, we consider a locally free action of a compact Lie group G on X and we investigate the associated algebra of G-invariant Toeplitz operators. The main application is a construction of deformation quantization of compact “quantizable” pseudo-Kähler manifolds.

Galasso, A., Hsiao, C. (2023). Toeplitz Operators on CR Manifolds and Group Actions. THE JOURNAL OF GEOMETRIC ANALYSIS, 33(1 (January 2023)) [10.1007/s12220-022-01078-9].

Toeplitz Operators on CR Manifolds and Group Actions

Galasso, A
;
2023

Abstract

Let X be a connected orientable compact CR manifold with non-degenerate Levi form. In this paper, we study the algebra of Toeplitz operators on X and we establish star product for a certain class of symbols on X. In the second part of this paper, we consider a locally free action of a compact Lie group G on X and we investigate the associated algebra of G-invariant Toeplitz operators. The main application is a construction of deformation quantization of compact “quantizable” pseudo-Kähler manifolds.
Articolo in rivista - Articolo scientifico
CR manifolds; Group actions; Star products; Toeplitz operators;
English
14-nov-2022
2023
33
1 (January 2023)
21
none
Galasso, A., Hsiao, C. (2023). Toeplitz Operators on CR Manifolds and Group Actions. THE JOURNAL OF GEOMETRIC ANALYSIS, 33(1 (January 2023)) [10.1007/s12220-022-01078-9].
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/10281/400116
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