Holomorphic Koszul-Brylinski homology via Dolbeault cohomology
From MaRDI portal
Publication:2111101
DOI10.1007/s10711-022-00752-0OpenAlexW4311949496MaRDI QIDQ2111101
Publication date: 23 December 2022
Published in: Geometriae Dedicata (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/2204.02600
Dolbeault cohomologyMayer-Vietoris sequenceblow-up formulaholomorphic Poisson manifoldPoisson homologyLeray-Hirsch theoremKoszul-Brylinski homologyKünneth theorem
Analytic sheaves and cohomology groups (32C35) Poisson manifolds; Poisson groupoids and algebroids (53D17) Complex manifolds (32Q99)
Cites Work
- Unnamed Item
- Unnamed Item
- Local classification of generalized complex structures
- Holomorphic Poisson cohomology
- Generalized complex geometry
- Poisson cohomology of Del Pezzo surfaces
- Instantons, Poisson structures and generalized Kähler geometry
- Holomorphic Poisson structure and its cohomology on nilmanifolds
- Deformations of generalized complex generalized Kähler structures
- Fuchsian moduli on a Riemann surface --- Its Poisson structure and Poincaré-Lefschetz duality
- Algebraic geometry of Poisson brackets
- A Hodge-type decomposition of holomorphic Poisson cohomology on nilmanifolds
- Poisson cohomology of holomorphic toric Poisson manifolds. I
- Constructions and classifications of projective Poisson varieties
- Hypercohomologies of truncated twisted holomorphic de Rham complexes
- Leray-Hirsch theorem and blow-up formula for Dolbeault cohomology
- Algebraic structure of holomorphic Poisson cohomology on nilmanifolds
- The global decomposition theorem for Hochschild (co-)homology of singular spaces via the Atiyah-Chern character
- Poisson cohomology of two Fano threefolds
- On the Quantization of Isomonodromic Deformations on the Torus
- Holomorphic Koszul-Brylinski Homology
- On the variety of Lagrangian subalgebras, II
- Holomorphic Poisson Manifolds and Holomorphic Lie Algebroids
- On the variety of Lagrangian subalgebras, I
- Blow-ups in generalized complex geometry
- Deformations of holomorphic Poisson manifolds
This page was built for publication: Holomorphic Koszul-Brylinski homology via Dolbeault cohomology