Poisson geometry of certain moduli spaces for bundles on a surface

DOI10.1007/BF02362636zbMath0885.58024MaRDI QIDQ1356288

Johannes Huebschmann

Publication date: 26 April 1998

Published in: Journal of Mathematical Sciences (New York) (Search for Journal in Brave)

zbMATH Keywords

singularitiesPoisson geometryYang-Mills connectionsmoduli spaces for bundlesNarasimhan-Seshadri moduli space

Mathematics Subject Classification ID

Moduli problems for differential geometric structures (58D27) Complex-analytic moduli problems (32G13) Algebraic moduli problems, moduli of vector bundles (14D20) Dynamical aspects of finite-dimensional Hamiltonian and Lagrangian systems (37J99)

Related Items (1)

Symplectic and Poisson structures of certain moduli spaces. I

Cites Work

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• Stratified symplectic spaces and reduction
• Poisson structures on certain moduli spaces for bundles on a surface
• The singularities of Yang-Mills connections for bundles on a surface. I: The local model
• The singularities of Yang-Mills connections for bundles on a surface. II: The stratification
• Stable and unitary vector bundles on a compact Riemann surface
• Space of unitary vector bundles on a compact Riemann surface
• Über Modifikationen und exzeptionelle analytische Mengen
• Moduli of vector bundles on a compact Riemann surface
• Singular Poisson-K\"ahler geometry of stratified K\"ahler spaces and quantization
• Poisson cohomology and quantization.
• The Yang-Mills equations over Riemann surfaces

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