Search engine for discovering works of Art, research articles, and books related to Art and Culture
Javascript must be enabled to continue!
Holomorphic Poisson Cohomology
View through CrossRef
Abstract
Holomorphic Poisson structures arise naturally in the realm of generalized geometry. A holomorphic
Poisson structure induces a deformation of the complex structure in a generalized sense, whose cohomology
is obtained by twisting the Dolbeault @-operator by the holomorphic Poisson bivector field. Therefore,
the cohomology space naturally appears as the limit of a spectral sequence of a double complex. The first
sheet of this spectral sequence is simply the Dolbeault cohomology with coefficients in the exterior algebra of
the holomorphic tangent bundle. We identify various necessary conditions on compact complex manifolds
on which this spectral sequence degenerates on the level of the second sheet. The manifolds to our concern
include all compact complex surfaces, Kähler manifolds, and nilmanifolds with abelian complex structures
or parallelizable complex structures.
Title: Holomorphic Poisson Cohomology
Description:
Abstract
Holomorphic Poisson structures arise naturally in the realm of generalized geometry.
A holomorphic
Poisson structure induces a deformation of the complex structure in a generalized sense, whose cohomology
is obtained by twisting the Dolbeault @-operator by the holomorphic Poisson bivector field.
Therefore,
the cohomology space naturally appears as the limit of a spectral sequence of a double complex.
The first
sheet of this spectral sequence is simply the Dolbeault cohomology with coefficients in the exterior algebra of
the holomorphic tangent bundle.
We identify various necessary conditions on compact complex manifolds
on which this spectral sequence degenerates on the level of the second sheet.
The manifolds to our concern
include all compact complex surfaces, Kähler manifolds, and nilmanifolds with abelian complex structures
or parallelizable complex structures.
Related Results
Preface: phys. stat. sol. (b) 244/3
Preface: phys. stat. sol. (b) 244/3
AbstractThis is the 2nd special issue of physica status solidi (b) dedicated to materials exhibiting negative Poisson's ratio (auxetic) or other unusual or counter‐intuitive physic...
Influence of Poisson Effect of Compression Anchor Grout on Interfacial Shear Stress
Influence of Poisson Effect of Compression Anchor Grout on Interfacial Shear Stress
Abstract
The distribution and magnitude of the shear stress at the interface between the grout of a compression anchor rod and rock are strongly affected by the Poisson eff...
Logarithmic Poisson cohomology: example of calculation and application to prequantization
Logarithmic Poisson cohomology: example of calculation and application to prequantization
In this paper we introduce the notions of logarithmic Poisson structure and logarithmic principal Poisson structure. We prove that the latter induces a representation by logarithmi...
Shifted generic cohomology
Shifted generic cohomology
AbstractThe idea that the cohomology of finite groups might be fruitfully approached via the cohomology of ambient semisimple algebraic groups was first shown to be viable in the p...
Restriction of Donaldson's functional to diagonal metrics on Higgs bundles with non-holomorphic Higgs fields
Restriction of Donaldson's functional to diagonal metrics on Higgs bundles with non-holomorphic Higgs fields
Abstract
We consider a Higgs bundle over a compact K\"ahler manifold with a smooth, non-holomorphic Higgs field. We assume that the holomorphic vector bundle decomposes int...
Pemodelan Distribusi Poisson-Sujatha pada Data Frekuensi Klaim Asuransi Kendaraan Bermotor di Indonesia
Pemodelan Distribusi Poisson-Sujatha pada Data Frekuensi Klaim Asuransi Kendaraan Bermotor di Indonesia
Abstract. Insurance is an agreement between two or more parties where the insurer promises to the insured by receiving a premium to compensate the insured against loss, damage or l...
On the Lichnerowicz-Poisson cohomology complex and quasi-Poisson algebras
On the Lichnerowicz-Poisson cohomology complex and quasi-Poisson algebras
This article explores F-commutative algebra (A,·) with Poisson structure defined by a non-Lie algebra bivector Q. We analyse the Lichnerowicz-Poisson coboundary δ*Q and its implica...
Coarse Sheaf Cohomology
Coarse Sheaf Cohomology
A certain Grothendieck topology assigned to a metric space gives rise to a sheaf cohomology theory which sees the coarse structure of the space. Already constant coefficients produ...