Quantization formula for symplectic manifolds with boundary
type: Item
instance of: scholarly article
title: Quantization formula for symplectic manifolds with boundary
zbMATH Open document ID: 0970.53046
author: Youliang Tian
author: Weiping Zhang
published in: Geometric and Functional Analysis. GAFA
publication date: 2001-10-14T00:00:00Z
full work available at URL: http://cds.cern.ch/record/387854
review text: In the paper under review the authors extend their previous result [Invent. Math. 132, 229-259, (1998; Zbl 0944.53047)] to the case of symplectic manifolds with boundary. They also give a general quantization formula that works for both regular and singular reduction. As simple applications they obtain analytic versions of the relative residue formula of Guillemin and Kalkman as well was a Guillemin-Sternberg type formula for singular reductions under circle actions.
reviewed by: Mircea Puta
Mathematics Subject Classification ID: 53D50
Mathematics Subject Classification ID: 53D20
zbMATH DE Number: 1346313
zbMATH Keywords: symplectic manifold with boundary
zbMATH Keywords: reduction
zbMATH Keywords: quantization
MaRDI profile type: Publication
OpenAlex ID: W1977162700
DOI: 10.1007/S000390050097
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description: scientific article; zbMATH DE number 1346313