Hodge theory for twisted differentials
From MaRDI portal
Publication:490701
DOI10.2478/coma-2014-0005zbMath1320.32027arXiv1407.3928OpenAlexW2083726654MaRDI QIDQ490701
Daniele Angella, Hisashi Kasuya
Publication date: 28 August 2015
Published in: Complex Manifolds (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1407.3928
Differential geometry of homogeneous manifolds (53C30) Hodge theory in global analysis (58A14) Homogeneous complex manifolds (32M10)
Related Items
Locally conformal Hermitian metrics on complex non-Kähler manifolds ⋮ Cohomologies of Sasakian groups and Sasakian solvmanifolds ⋮ Cohomologies of locally conformally symplectic manifolds and solvmanifolds ⋮ Twisted differentials and Lee classes of locally conformally symplectic complex surfaces ⋮ Currents on locally conformally Kähler manifolds ⋮ Bott–Chern blow-up formulae and the bimeromorphic invariance of the $\partial \partial $-Lemma for threefolds ⋮ On the Morse-Novikov cohomology of blowing up complex manifolds ⋮ On local stabilities of -Kähler structures
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- The cohomologies of the Iwasawa manifold and of its small deformations
- Cohomologies of certain orbifolds
- Hodge symmetry and decomposition on non-Kähler solvmanifolds
- The Fujiki class and positive degree maps
- On solvable generalized Calabi-Yau manifolds
- Morse-Novikov cohomology of locally conformally Kähler manifolds
- Kähler and symplectic structures on nilmanifolds
- Higgs bundles and local systems
- Complex parallelisable manifolds and their small deformations
- Real homotopy theory of Kähler manifolds
- On automorphism groups of compact Kähler manifolds
- On the metric structure of non-Kähler complex surfaces
- Bott-Chern cohomology of solvmanifolds
- Complex manifolds and deformation of complex structures. Transl. from the Japanese by Kazuo Akao
- Techniques of computations of Dolbeault cohomology of solvmanifolds
- On the \(\partial\overline{\partial}\)-lemma and Bott-Chern cohomology
- Inequalities à la Frölicher and cohomological decompositions
- On deformations of complex analytic structures. III: Stability theorems for complex structures
- A note on compact solvmanifolds with Kähler structures
- Hermitian vector bundles and the equidistribution of the zeroes of their holomorphic section
- Comparison of de Rham and Dolbeault cohomology for proper surjective mappings
- Minimal Models of Nilmanifolds
- ON A GENERALIZATION OF THE NOTION OF MANIFOLD
- Flat Bundles and Hyper-Hodge Decomposition on Solvmanifolds
- Differential Analysis on Complex Manifolds
- The Decomposition Theorem for V-Manifolds
- ON THE QUOTIENT OF AN ANALYTIC MANIFOLD BY A GROUP OF ANALYTIC HOMEOMORPHISMS
- RELATIONS BETWEEN THE COHOMOLOGY GROUPS OF DOLBEAULT AND TOPOLOGICAL INVARIANTS
- Dolbeault cohomology of compact nilmanifolds