POISSON GEOMETRY OF PARABOLIC BUNDLES ON ELLIPTIC CURVES

DOI10.1142/S0129167X08004704zbMath1152.53065arXivmath/0607061OpenAlexW2009499942MaRDI QIDQ3520437

David Balduzzi

Publication date: 26 August 2008

Published in: International Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/math/0607061

zbMATH Keywords

elliptic curvePoisson bracketloop groupprincipal bundleHamiltonian reduction

Mathematics Subject Classification ID

Poisson manifolds; Poisson groupoids and algebroids (53D17) Momentum maps; symplectic reduction (53D20) Vector bundles on curves and their moduli (14H60)

Cites Work

• Symplectic structure of the moduli space of sheaves on an abelian or K 3 surface
• Drinfeld-Sokolov reduction for difference operators and deformations of \({\mathcal W}\)-algebras. I: The case of Virasoro algebra
• Moment maps at the quantum level
• Central extensions of current groups in two dimensions
• Poisson structures on moduli spaces of sheaves over Poisson surfaces
• Towards Drinfeld-Sokolov reduction for quantum groups
• The Yang-Mills equations over Riemann surfaces
• Unnamed Item

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