60 citations · 175 across the 41 of their papers we have counts for
9 papers · 1 filter
Mixed Hodge structures and Sullivan's minimal models of Sasakian manifolds
Hisashi Kasuya
We show that the Malcev Lie algebra of the fundamental group of a compact -dimensional Sasakian manifold with admits a quadratic presentation by using Morgan's bigra…
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…
Extended simplicial rational Nomizu's Theorem
Hisashi Kasuya
For a torsion-free virtually polycyclic group , we give a canonical homomorphism form certain finite-dimensional cochain complex to the $\Q$-polynomial de Rham complex of the si…
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…
Twisted Lefschetz numbers of infra-solvmanifolds and algebraic groups
Hisashi Kasuya
Twisted Lefschetz numbers are extensions of the ordinary Lefschetz numbers for cohomologies with values in flat bundles. As a generalization of linearization formula for the ordina…
Lefschetz coincidence numbers of solvmanifolds with Mostow conditions
Hisashi Kasuya
For any two continuous maps between two solvmanifolds of same dimension satisfying the Mostow condition, we give a technique of computation of the Lefschetz coincidence numbe…
Singularity of the varieties of representations of lattices in solvable Lie groups
Hisashi Kasuya
For a lattice of a simply connected solvable Lie group , we describe the analytic germ in the variety of representations of at the trivial representation as an analytic…