Formality of the Dolbeault complex and deformations of holomorphic Poisson manifolds
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Publication:2085446
DOI10.1016/j.geomphys.2022.104679zbMath1504.53091arXiv2209.14511OpenAlexW4297498206MaRDI QIDQ2085446
Publication date: 18 October 2022
Published in: Journal of Geometry and Physics (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/2209.14511
deformationMaurer-Cartan elementholomorphic Poisson manifold\(\partial \bar{\partial}\)-lemma\(\partial_{\pi} \bar{\partial}\)-lemmaholomorphic Koszul-Brylinski homology
Cites Work
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- Cohomology and Hodge theory on symplectic manifolds. III
- The cohomologies of the Iwasawa manifold and of its small deformations
- Local classification of generalized complex structures
- Cohomological aspects in complex non-Kähler geometry
- Holomorphic Poisson cohomology
- Generalized complex geometry
- Poisson cohomology of Del Pezzo surfaces
- The decomposition of forms and cohomology of generalized complex manifolds
- Instantons, Poisson structures and generalized Kähler geometry
- Holomorphic Poisson structure and its cohomology on nilmanifolds
- Geometry of Maurer-Cartan elements on complex manifolds
- Deformations of generalized complex generalized Kähler structures
- A differential complex for Poisson manifolds
- Real homotopy theory of Kähler manifolds
- On compact complex parallelisable solvmanifolds
- The modular automorphism group of a Poisson manifold
- Bott-Chern cohomology of solvmanifolds
- Poisson cohomology of holomorphic toric Poisson manifolds. I
- Formality of Koszul brackets and deformations of holomorphic Poisson manifolds
- Cohomology and Hodge theory on symplectic manifolds. I
- Cohomology and Hodge theory on symplectic manifolds. II
- On the \(\partial\overline{\partial}\)-lemma and Bott-Chern cohomology
- Inequalities à la Frölicher and cohomological decompositions
- Symplectic realizations of holomorphic Poisson manifolds
- Holomorphic Koszul-Brylinski Homology
- Holomorphic Poisson Manifolds and Holomorphic Lie Algebroids
- On the Lie-formality of Poisson manifolds
- The outer derivation of a complex Poisson manifold
- Frobenius Manifolds and Formality of Lie Algebras of Polyvector Fields
- Compact nilmanifolds with nilpotent complex structures: Dolbeault cohomology
- Blow-ups in generalized complex geometry
- Generalized Calabi-Yau Manifolds
- Deformations of holomorphic Poisson manifolds
- Bott–Chern blow-up formulae and the bimeromorphic invariance of the $\partial \partial $-Lemma for threefolds
- Poisson resolutions
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