The moduli space of flat connections on oriented surfaces with boundary
type: Item
instance of: scholarly article
title: The moduli space of flat connections on oriented surfaces with boundary
zbMATH Open document ID: 1012.53065
author: Ambar N. Sengupta
published in: Journal of Functional Analysis
publication date: 2002-07-04T00:00:00Z
review text: The author constructs in this paper a \(2\)-form on the space of connections on a principal bundle over an oriented surface with boundary that induces a symplectic structure for the moduli space of flat connections with boundary holonomies lying in prescribed conjugacy classes. The Yang-Mills quantum field is described.
reviewed by: Ricardo Sa Earp
Mathematics Subject Classification ID: 53D30
Mathematics Subject Classification ID: 53C07
Mathematics Subject Classification ID: 58D27
zbMATH DE Number: 1763761
zbMATH Keywords: space of connections
zbMATH Keywords: oriented surface
zbMATH Keywords: flat connections
zbMATH Keywords: boundary holonomies
MaRDI profile type: Publication
full work available at URL: jfan.2001.3882
OpenAlex ID: W1972545362
cites work: Representation theory of Chern-Simons observables
cites work: Q3998730
cites work: The Yang-Mills equations over Riemann surfaces
cites work: Q3704110
cites work: PRINCIPAL BUNDLES ON OPEN SURFACES AND INVARIANT FUNCTIONS ON LIE GROUPS
cites work: Small volume limits of 2-\(d\) Yang-Mills
cites work: The symplectic nature of fundamental groups of surfaces
cites work: Group systems, groupoids, and moduli spaces of parabolic bundles
cites work: Symplectic and Poisson structures of certain moduli spaces. II: Projective representations of cocompact planar discrete groups
cites work: Extended moduli spaces of flat connections on Riemann surfaces
cites work: An explicit description of the symplectic structure of moduli spaces of flat connections
cites work: The semiclassical limit of the two-dimensional quantum Yang–Mills model
cites work: A new 2-form for connections on surfaces with boundary
cites work: A symplectic structure for connections on surfaces with boundary
cites work: Q3741813
cites work: Heat kernel and moduli space
cites work: Heat kernel and moduli spaces. II
cites work: On the existence of a connection with curvature zero
cites work: A Mathematical Introduction to Conformal Field Theory
cites work: Gauge theory on compact surfaces
cites work: Yang-Mills on surfaces with boundary: Quantum theory and symplectic limit
cites work: Sewing symplectic volumes for flat connections over compact surfaces
cites work: The Moduli Space of Yang–Mills Connections Over a Compact Surface
cites work: A Yang–Mills Inequality for Compact Surfaces
cites work: On quantum gauge theories in two dimensions
cites work: Two dimensional gauge theories revisited
DOI: 10.1006/JFAN.2001.3882
Recommended article: The stable moduli space of flat connections over a surface
Recommended article: On the Connectedness of Moduli Spaces of Flat Connections over Compact Surfaces
Recommended article: Extended moduli spaces of flat connections on Riemann surfaces
Recommended article: The moduli space of flat \(SU(2)\) and \(SO(3)\) connections over surfaces
Recommended article: Q3582232
Recommended article: On moduli spaces of flat connections with non-simply connected structure group
Recommended article: Moduli of ﬂat connections on smooth varieties
Recommended article: MODULI SPACES OF FLAT SU(2)-BUNDLES OVER NON-ORIENTABLE SURFACES
Recommended article: Moduli Space of Flat Connections as a Poisson Manifold
Recommended article: Kirwan map and moduli space of flat connections
description: scientific article; zbMATH DE number 1763761