60 citations · 175 across the 41 of their papers we have counts for
6 papers · 1 filter
Central theorems for cohomologies of certain solvable groups
Hisashi Kasuya
We show that the group cohomology of torsion-free virtually polycyclic groups and the continuous cohomology of simply connected solvable Lie groups can be computed by the rational…
Flat bundles and Hyper-Hodge decomposition on solvmanifolds
Hisashi Kasuya
We study rank flat bundles over solvmanifolds whose cohomologies are non-trivial. By using Hodge theoretical properties for all topologically trivial rank flat bundles, we…
Symplectic Bott-Chern cohomology of solvmanifolds
Daniele Angella, Hisashi Kasuya
We study the symplectic Bott-Chern cohomology by L.-S. Tseng and S.-T. Yau for solvmanifolds endowed with left-invariant symplectic structures. Our results are applicable to cohomo…
Cohomologies of deformations of solvmanifolds and closedness of some properties
Daniele Angella, Hisashi Kasuya
We provide further techniques to study the Dolbeault and Bott-Chern cohomologies of deformations of solvmanifolds by means of finite-dimensional complexes. By these techniques, we…
SKT and Tamed Symplectic structures on solvmanifolds
Anna Fino, Hisashi Kasuya, Luigi Vezzoni
We study the existence of strong Kähler with torsion (SKT) metrics and of symplectic forms taming invariant complex structures on solvmanifolds providing some negative re…
On de Rham and Dolbeault Cohomology of Solvmanifolds
Sergio Console, Anna Fino, Hisashi Kasuya
For a simply connected (non-nilpotent) solvable Lie group with a lattice the de Rham and Dolbeault cohomologies of the solvmanifold are not in general isomorphic to t…