A symplectic structure for connections on surfaces with boundary

DOI10.1007/BF02099512zbMath0842.58006MaRDI QIDQ1907619

Ambar N. Sengupta, Christopher K. King

Publication date: 13 February 1996

Published in: Communications in Mathematical Physics (Search for Journal in Brave)

zbMATH Keywords

moduli spacegauge groupsymplectic structurecompact surfacesgauge invariant 2-formone boundary componentspace of flat connections

Mathematics Subject Classification ID

Quantum groups and related algebraic methods applied to problems in quantum theory (81R50) Moduli problems for differential geometric structures (58D27) Special connections and metrics on vector bundles (Hermite-Einstein, Yang-Mills) (53C07) Dynamical aspects of finite-dimensional Hamiltonian and Lagrangian systems (37J99) General geometric structures on manifolds (almost complex, almost product structures, etc.) (53C15)

Related Items (5)

Sewing Yang-Mills measures and moduli spaces over compact surfaces ⋮ Tangles, relative character varieties, and holonomy perturbed traceless flat moduli spaces ⋮ Sewing symplectic volumes for flat connections over compact surfaces ⋮ The Moduli Space of Yang–Mills Connections Over a Compact Surface ⋮ 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
• Two dimensional gauge theories revisited
• Extended moduli spaces of flat connections on Riemann surfaces
• Toric structures on the moduli space of flat connections on a Riemann surface: Volumes and the moment map
• The semiclassical limit for \(\text{SU}(2)\) and \(\text{SO}(3)\) gauge theory on the torus
• A new 2-form for connections on surfaces with boundary
• PRINCIPAL BUNDLES ON OPEN SURFACES AND INVARIANT FUNCTIONS ON LIE GROUPS
• An Algebraic Proof for the Symplectic Structure of Moduli Space
• 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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