Deformations of holomorphic Poisson manifolds

zbMath1267.32010arXiv1105.4775MaRDI QIDQ4902671

Nigel J. Hitchin

Publication date: 17 January 2013

Full work available at URL: https://arxiv.org/abs/1105.4775

zbMATH Keywords

Poisson manifoldHilbert schemeKodaira-Spencer classexceptional divisordeformation of complex structures

Mathematics Subject Classification ID

Poisson manifolds; Poisson groupoids and algebroids (53D17) Deformations of complex structures (32G05) Generalized geometries (à la Hitchin) (53D18)

Related Items (19)

Deformations of holomorphic pseudo-symplectic Poisson manifolds ⋮ Poisson algebras of block-upper-triangular bilinear forms and braid group action ⋮ TANGENT BUNDLES, MONOIDAL THEORIES AND WEIL ALGEBRAS ⋮ Hilbert squares: derived categories and deformations ⋮ A Hodge-type decomposition of holomorphic Poisson cohomology on nilmanifolds ⋮ Algebraic structure of holomorphic Poisson cohomology on nilmanifolds ⋮ Holomorphic Poisson structure and its cohomology on nilmanifolds ⋮ Holomorphic Jacobi manifolds ⋮ A BOGOMOLOV UNOBSTRUCTEDNESS THEOREM FOR LOG-SYMPLECTIC MANIFOLDS IN GENERAL POSITION ⋮ Poisson cohomology of holomorphic toric Poisson manifolds. I ⋮ Holomorphic Poisson cohomology ⋮ Generalized deformation of complex structures on nilmanifolds ⋮ Shifted Poisson structures and moduli spaces of complexes ⋮ Abelian complex structures and generalizations ⋮ Holomorphic Jacobi manifolds and holomorphic contact groupoids ⋮ Hyperkähler metrics near Lagrangian submanifolds and symplectic groupoids ⋮ Formality of the Dolbeault complex and deformations of holomorphic Poisson manifolds ⋮ Poisson structures on twistor spaces of hyperkähler and HKT manifolds ⋮ Holomorphic Koszul-Brylinski homology via Dolbeault cohomology

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