60 citations · 175 across the 41 of their papers we have counts for
4 papers · 2 filters
Cohomologies of Sasakian groups and Sasakian solvmanifolds
Hisashi Kasuya
We show certain symmetry of the dimensions of cohomologies of the funda- mental groups of compact Sasakian manifolds by using the Hodge theory of twisted basic cohomology. As appli…
Tamed symplectic structures on compact solvmanifolds of completely solvable type
Anna Fino, Hisashi Kasuya
A compact solvmanifold of completely solvable type, i.e. a compact quotient of a completely solvable Lie group by a lattice, has a Kähler structure if and only if it is a complex t…
Hodge theory for twisted differentials
Daniele Angella, Hisashi Kasuya
We study cohomologies and Hodge theory for complex manifolds with twisted differentials. In particular, we get another cohomological obstruction for manifolds in class $\mathcal{C}…
Cohomologies of generalized complex manifolds and nilmanifolds
Daniele Angella, Simone Calamai, Hisashi Kasuya
We study generalized complex cohomologies of generalized complex structures constructed from certain symplectic fibre bundles over complex manifolds. We apply our results in the ca…