The moduli space of flat connections on oriented surfaces with boundary

DOI10.1006/jfan.2001.3882zbMath1012.53065OpenAlexW1972545362MaRDI QIDQ1604533

Ambar N. Sengupta

Publication date: 4 July 2002

Published in: Journal of Functional Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1006/jfan.2001.3882

zbMATH Keywords

flat connectionsoriented surfacespace of connectionsboundary holonomies

Mathematics Subject Classification ID

Moduli problems for differential geometric structures (58D27) Special connections and metrics on vector bundles (Hermite-Einstein, Yang-Mills) (53C07) Symplectic structures of moduli spaces (53D30)

Related Items

Quantum abelian Yang-Mills theory on Riemannian manifolds with boundary ⋮ Gauge theories in low dimensions: reminiscences of work with Sergio Albeverio ⋮ Twisted moduli spaces and Duistermaat-Heckman measures

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Heat kernel and moduli space
• The symplectic nature of fundamental groups of surfaces
• On quantum gauge theories in two dimensions
• Two dimensional gauge theories revisited
• Small volume limits of 2-\(d\) Yang-Mills
• Extended moduli spaces of flat connections on Riemann surfaces
• Yang-Mills on surfaces with boundary: Quantum theory and symplectic limit
• Group systems, groupoids, and moduli spaces of parabolic bundles
• Heat kernel and moduli spaces. II
• A new 2-form for connections on surfaces with boundary
• A symplectic structure for connections on surfaces with boundary
• Symplectic and Poisson structures of certain moduli spaces. II: Projective representations of cocompact planar discrete groups
• Sewing symplectic volumes for flat connections over compact surfaces
• On the existence of a connection with curvature zero
• Representation theory of Chern-Simons observables
• The Moduli Space of Yang–Mills Connections Over a Compact Surface
• A Mathematical Introduction to Conformal Field Theory
• PRINCIPAL BUNDLES ON OPEN SURFACES AND INVARIANT FUNCTIONS ON LIE GROUPS
• A Yang–Mills Inequality for Compact Surfaces
• An explicit description of the symplectic structure of moduli spaces of flat connections
• The semiclassical limit of the two-dimensional quantum Yang–Mills model
• Gauge theory on compact surfaces
• The Yang-Mills equations over Riemann surfaces