Sewing Yang-Mills measures and moduli spaces over compact surfaces
type: Item
instance of: scholarly article
title: Sewing Yang-Mills measures and moduli spaces over compact surfaces
zbMATH Open document ID: 0896.58021
author: Claas Becker
author: Ambar N. Sengupta
published in: Journal of Functional Analysis
publication date: 1998-03-24T00:00:00Z
review text: The purpose of this paper is to present a disintegration formula for the quantum Yang-Mills measure for a compact surface \(\Sigma\) in terms of the corresponding measures for two surfaces \(\Sigma_1\) and \(\Sigma_2\) into which \(\Sigma\) may be decomposed. As a consequence, a formula which expresses the symplectic volume measure on the moduli space of flat \(SU(2)\) connections over a closed Riemann surface \(\Sigma\) in terms of the corresponding volume measures for the surfaces \(\Sigma_1\) and \(\Sigma_2\), when the latter each have one boundary component, is also obtained.
Mathematics Subject Classification ID: 58E15
Mathematics Subject Classification ID: 81T13
Mathematics Subject Classification ID: 58D27
zbMATH DE Number: 1121255
zbMATH Keywords: moduli space of flat \(SU(2)\) connections
zbMATH Keywords: quantum Yang-Mills measure
zbMATH Keywords: symplectic volume measure
reviewed by: Neculai Papaghiuc
MaRDI profile type: Publication
full work available at URL: jfan.1997.3161
OpenAlex ID: W2053938923
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DOI: 10.1006/JFAN.1997.3161
description: scientific article; zbMATH DE number 1121255