Unobstructed Deformations of Generalized Complex Structures Induced by $$C^{\infty } $$ C ∞ Logarithmic Symplectic Structures and Logarithmic Poisson Structures

DOI10.1007/978-4-431-56021-0_9zbMath1405.53105arXiv1501.03398OpenAlexW3199520422MaRDI QIDQ2819648

Ryushi Goto

Publication date: 29 September 2016

Published in: Springer Proceedings in Mathematics & Statistics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1501.03398

zbMATH Keywords

Poisson structuregeneralized complex structureunobstructed deformationslogarithmic symplectic structure

Mathematics Subject Classification ID

Symplectic manifolds (general theory) (53D05) General geometric structures on manifolds (almost complex, almost product structures, etc.) (53C15) Generalized geometries (à la Hitchin) (53D18)

Related Items (8)

Matsushima-Lichnerowicz type theorems of Lie algebra of automorphisms of generalized Kähler manifolds of symplectic type ⋮ A Hodge-type decomposition of holomorphic Poisson cohomology on nilmanifolds ⋮ Algebraic structure of holomorphic Poisson cohomology on nilmanifolds ⋮ Generalized Luttinger surgery and other cut-and-paste constructions in generalized complex geometry ⋮ Elliptic singularities on log symplectic manifolds and Feigin–Odesskii Poisson brackets ⋮ Fibrations and stable generalized complex structures ⋮ On toric Poisson structures of type \((1,1)\) and their cohomology ⋮ The cohomology of the elliptic tangent bundle

Cites Work

• Unobstructed K-deformations of generalized complex structures and bi-Hermitian structures
• On the number of type change loci of a generalized complex structure
• Generalized complex geometry
• A surgery for generalized complex structures on 4-manifolds
• Symplectic manifolds and their Lagrangian submanifolds
• Blow-up of generalized complex 4-manifolds

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