Symplectic structure of the moduli space of flat connections on a Riemann surface

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dc.creatorAlekseev, A. Yu.
dc.creatorMalkin, A. Z.
dc.date1993-12-01
dc.date.accessioned2026-07-07T11:14:43Z
dc.date.available2026-07-07T11:14:43Z
dc.descriptionWe consider canonical symplectic structure on the moduli space of flat ${\g}$-connections on a Riemann surface of genus $g$ with $n$ marked points. For ${\g}$ being a semisimple Lie algebra we obtain an explicit efficient formula for this symplectic form and prove that it may be represented as a sum of $n$ copies of Kirillov symplectic form on the orbit of dressing transformations in the Poisson-Lie group $G^{*}$ and $g$ copies of the symplectic structure on the Heisenberg double of the Poisson-Lie group $G$ (the pair ($G,G^{*}$) corresponds to the Lie algebra ${\g}$).
dc.description20 pages
dc.identifierhttps://arxiv.org/abs/hep-th/9312004
dc.identifierhttp://arxiv.org/abs/hep-th/9312004
dc.identifierCommun.Math.Phys.169:99-120,1995
dc.identifierdoi:10.1007/BF02101598
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/192167
dc.subjectHigh Energy Physics - Theory
dc.subjectDifferential Geometry
dc.titleSymplectic structure of the moduli space of flat connections on a Riemann surface
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