Toeplitz Operators on CR Manifolds and Group Actions

نویسندگان

چکیده

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 and establish star product for certain class symbols X. second part consider locally free action Lie group G investigate associated G-invariant operators. The main application is construction deformation quantization “quantizable” pseudo-Kähler manifolds.

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ژورنال

عنوان ژورنال: Journal of Geometric Analysis

سال: 2022

ISSN: ['1559-002X', '1050-6926']

DOI: https://doi.org/10.1007/s12220-022-01078-9