Quantitative and qualitative cohomological properties for non-Kähler manifolds
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Publication:2832827
DOI10.1090/proc/13209zbMath1355.32020arXiv1507.07108OpenAlexW3102918184MaRDI QIDQ2832827
Nicoletta Tardini, Daniele Angella
Publication date: 14 November 2016
Published in: Proceedings of the American Mathematical Society (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1507.07108
complex manifoldsBott-Chern cohomologyAeppli cohomologynon-Kähler geometry\(\partial\overline{\partial}\)-lemma
Related Items (12)
On the cohomology of almost-complex and symplectic manifolds and proper surjective maps ⋮ The \(\partial\bar{\partial}\)-lemma under surjective maps ⋮ Bott-Chern hypercohomology and bimeromorphic invariants ⋮ Cohomologies of locally conformally symplectic manifolds and solvmanifolds ⋮ Note on Dolbeault cohomology and Hodge structures up to bimeromorphisms ⋮ On Tian-Todorov lemma and its applications to deformation of CR-structures ⋮ Bott–Chern blow-up formulae and the bimeromorphic invariance of the $\partial \partial $-Lemma for threefolds ⋮ On non-Kähler degrees of complex manifolds ⋮ On the deformed Bott-Chern cohomology ⋮ Higher-page Bott-Chern and Aeppli cohomologies and applications ⋮ Geometric formalities Along the Chern-Ricci flow ⋮ On local stabilities of -Kähler structures
Cites Work
- Unnamed Item
- Unnamed Item
- The cohomologies of the Iwasawa manifold and of its small deformations
- On geometric Bott-Chern formality and deformations
- \(A\)-infinity structure on Ext-algebras.
- A differential complex for Poisson manifolds
- Real homotopy theory of Kähler manifolds
- Infinitesimal computations in topology
- Bott-Chern cohomology of solvmanifolds
- 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
- On Bott-Chern cohomology and formality
- Inequalities à la Frölicher and cohomological decompositions
- On deformations of complex analytic structures. III: Stability theorems for complex structures
- Hermitian vector bundles and the equidistribution of the zeroes of their holomorphic section
- Volume and self-intersection of differences of two nef classes
- The complex Monge-Ampère equation on compact Hermitian manifolds
- Dolbeault Homotopy Theory
- Generalized Calabi-Yau Manifolds
- RELATIONS BETWEEN THE COHOMOLOGY GROUPS OF DOLBEAULT AND TOPOLOGICAL INVARIANTS
- On Bott-Chern cohomology of compact complex surfaces
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