Berezin-Toeplitz quantization for eigenstates of the Bochner-Laplacian\n on symplectic manifolds

2017/03/19 by Louis Ioos, Wen Lu, Ioos, Louis +6
Mathematics · #Advanced Algebra and Geometry #Differential Geometry (math.DG) #FOS: Mathematics #Geometric Analysis and Curvature Flows #Geometry and complex manifolds #Homotopy and Cohomology in Algebraic Topology

paper · pdf · doi:10.48550/arxiv.1703.06420

openalex publication_date 2017/03/19 · openalex created_date 2022/10/01 · openalex updated_date 2026/07/28

Abstract

We study the Berezin-Toeplitz quantization using as quantum space the space\nof eigenstates of the renormalized Bochner Laplacian corresponding to\neigenvalues localized near the origin on a symplectic manifold. We show that\nthis quantization has the correct semiclassical behavior and construct the\ncorresponding star-product.\n

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