An explicit description of the symplectic structure of moduli spaces of flat connections

DOI10.1063/1.530755zbMath0830.58006OpenAlexW2021749385MaRDI QIDQ4327244

Christopher K. King, Ambar N. Sengupta

Publication date: 5 April 1995

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

Full work available at URL: https://doi.org/10.1063/1.530755

zbMATH Keywords

symplectic structuresmoduli space of flat connections

Mathematics Subject Classification ID

Yang-Mills and other gauge theories in quantum field theory (81T13) Moduli problems for differential geometric structures (58D27) Riemannian, Finsler and other geometric structures on infinite-dimensional manifolds (58B20) General geometric structures on manifolds (almost complex, almost product structures, etc.) (53C15)

Related Items (9)

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 ⋮ A symplectic structure for connections on surfaces with boundary ⋮ Sewing Yang-Mills measures and moduli spaces over compact surfaces ⋮ The semiclassical limit of the two-dimensional quantum Yang–Mills model ⋮ The volume measure for flat connections as limit of the Yang-Mills measure. ⋮ Sewing symplectic volumes for flat connections over compact surfaces ⋮ The moduli space of flat \(SU(2)\) and \(SO(3)\) connections over surfaces ⋮ The moduli space of flat connections on oriented surfaces with boundary

Cites Work

• 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
• The semiclassical limit of the two-dimensional quantum Yang–Mills model
• The Yang-Mills equations over Riemann surfaces

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