Sewing symplectic volumes for flat connections over compact surfaces

DOI10.1016/S0393-0440(99)00033-9zbMath0951.58015OpenAlexW2062899124MaRDI QIDQ1970237

Ambar N. Sengupta

Publication date: 17 December 2000

Published in: Journal of Geometry and Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/s0393-0440(99)00033-9

zbMATH Keywords

flat connectionscompact surfacessymplectic volumes

Mathematics Subject Classification ID

Compact Riemann surfaces and uniformization (30F10) Moduli problems for differential geometric structures (58D27)

Related Items (5)

CONNECTIONS OVER TWO-DIMENSIONAL CELL COMPLEXES ⋮ The volume measure for flat connections as limit of the Yang-Mills measure. ⋮ Gauge theories in low dimensions: reminiscences of work with Sergio Albeverio ⋮ The volume of the moduli space of flat connections on a nonorientable 2-manifold ⋮ The moduli space of flat connections on oriented surfaces with boundary

Cites Work

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• The symplectic nature of fundamental groups of surfaces
• On quantum gauge theories in two dimensions
• Yang-Mills on surfaces with boundary: Quantum theory and symplectic limit
• Sewing Yang-Mills measures and moduli spaces over compact surfaces
• A symplectic structure for connections on surfaces with boundary
• The Moduli Space of Yang–Mills Connections Over a Compact Surface
• 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
• The Yang-Mills equations over Riemann surfaces

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