7 citations · 8 across the 3 of their papers we have counts for
4 papers · 1 filter
Remarks on Dolbeault cohomology of Oeljeklaus-Toma manifolds and Hodge theory
Hisashi Kasuya
We give explicit harmonic representatives of Dolbeault cohomology of Oeljeklaus-Toma manifolds and show that they are geometrically Dolbeault formal. We also give explicit harmonic…
Almost-formality and deformations of representations of the fundamental groups of Sasakian manifolds
Hisashi Kasuya
For a -dimensional compact Sasakian manifold, if , we prove that the analytic germ of the variety of representations of the fundamental group at every semi-simple rep…
Higgs bundles and flat connections over compact Sasakian manifolds
Indranil Biswas, Hisashi Kasuya
Given a compact Kähler manifold , there is an equivalence of categories between the completely reducible flat vector bundles on and the polystable Higgs bundles o…
Geometrical formality of solvmanifolds and solvable Lie type geometries
Hisashi Kasuya
We show that for a Lie group with a semisimple action which has a cocompact discrete subgroup , the solvmanifold admits a canonical invarian…