March 2022 Quantization and Isotropic Submanifolds
Louis Ioos
Michigan Math. J. 71(1): 177-220 (March 2022). DOI: 10.1307/mmj/20195787

Abstract

We introduce the notion of an isotropic quantum state associated with a Bohr–Sommerfeld manifold in the context of Berezin–Toeplitz quantization of general prequantized symplectic manifolds, and we study its semiclassical properties using the off-diagonal expansion of the Bergman kernel. We then show how these results extend to the case of noncompact orbifolds and give an application to relative Poincaré series in the theory of automorphic forms.

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Louis Ioos. "Quantization and Isotropic Submanifolds." Michigan Math. J. 71 (1) 177 - 220, March 2022. https://doi.org/10.1307/mmj/20195787

Information

Received: 25 August 2019; Revised: 14 May 2020; Published: March 2022
First available in Project Euclid: 8 January 2021

MathSciNet: MR4389675
zbMATH: 1494.53099
Digital Object Identifier: 10.1307/mmj/20195787

Subjects:
Primary: 11F41 , 32A25 , 53D12 , 53D50

Rights: Copyright © 2022 The University of Michigan

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Vol.71 • No. 1 • March 2022
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