Poisson structures on moduli spaces of sheaves over Poisson surfaces

DOI10.1007/BF01884307zbMath0829.14019MaRDI QIDQ1899742

Francesco Bottacin

Publication date: 21 November 1995

Published in: Inventiones Mathematicae (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/144307

zbMATH Keywords

Poisson structuremoduli spacePoisson surface

Mathematics Subject Classification ID

Related Items (23)

Moduli spaces of framed sheaves and quiver varieties ⋮ Smoothness and Poisson structures of Bridgeland moduli spaces on Poisson surfaces ⋮ Atiyah classes and closed forms on moduli spaces of sheaves ⋮ Integral generators for the cohomology ring of moduli spaces of sheaves over Poisson surfaces ⋮ Symplectic structures on moduli spaces of framed sheaves on surfaces ⋮ Instantons, Poisson structures and generalized Kähler geometry ⋮ A survey on symplectic singularities and symplectic resolutions ⋮ An interpretation of some Hitchin Hamiltonians in terms of isomonodromic deformation ⋮ Comparison of Poisson structures on moduli spaces ⋮ Quivers and Poisson structures ⋮ POISSON GEOMETRY OF PARABOLIC BUNDLES ON ELLIPTIC CURVES ⋮ Poisson surfaces and algebraically completely integrable systems ⋮ Generalized pseudo-Kähler structures ⋮ CLASSIFICATION OF POISSON SURFACES ⋮ Stable bundles on non-Kähler elliptic surfaces ⋮ Shifted Poisson structures and moduli spaces of complexes ⋮ Generalized Kähler geometry of instanton moduli spaces ⋮ Symplectic structures on moduli spaces of sheaves via the Atiyah class ⋮ Poisson structure on the moduli spaces of sheaves of pure dimension one on a surface ⋮ Multiplicative Hitchin systems and supersymmetric gauge theory ⋮ Sheaves on ℙ¹×ℙ¹, bigraded resolutions, and coadjoint orbits of loop groups ⋮ Degeneration of natural Lagrangians and Prymian integrable systems ⋮ Orientability for gauge theories on Calabi-Yau manifolds

Cites Work

• The local structure of Poisson manifolds
• Symplectic structure of the moduli space of sheaves on an abelian or K 3 surface
• Instantons and geometric invariant theory
• On the moduli of vector bundles on an algebraic surface
• Moduli of stable sheaves. II
• ON DEFORMATION OF SHEAVES
• Fibrés exceptionnels et variétés de modules de faisceaux semi-stables sur P2 ( C ).
• SYMPLECTIC STRUCTURES ON THE VARIETIES OF MODULI OF VECTOR BUNDLES ON ALGEBRAIC SURFACES WITHp_g> 0
• Symplectic geometry on moduli spaces of stable pairs
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