Geometric quantization for proper moment maps
type: Item
instance of: scholarly article
title: Geometric quantization for proper moment maps
zbMATH Open document ID: 1167.53073
author: Xiaonan Ma
author: Weiping Zhang
published in: Comptes Rendus. Mathématique. Académie des Sciences, Paris
publication date: 2009-04-16T00:00:00Z
review text: The authors establish a geometric quantization formula for Hamiltonian actions of a compact Lie group acting on a non-compact symplectic manifold such that the associated moment map is proper. In particular, they resolve the conjecture of M. Vergne in this non-compact setting.
reviewed by: Benjamin Cahen
Mathematics Subject Classification ID: 53D50
Mathematics Subject Classification ID: 81S10
zbMATH DE Number: 5544228
zbMATH Keywords: Lie group
zbMATH Keywords: symplectic manifold
zbMATH Keywords: moment map
MaRDI profile type: Publication
full work available at URL: j.crma.2009.02.003
OpenAlex ID: W2040230885
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DOI: 10.1016/J.CRMA.2009.02.003
description: scientific article; zbMATH DE number 5544228