18 citations · 72 across the 15 of their papers we have counts for
15 papers
Strong cohomological rigidity of Hirzebruch surface bundles in Bott towers
Hiroaki Ishida
We show the strong cohomological rigidity of Hirzebruch surface bundles over Bott manifolds. As a corollary, we have that the strong cohomological rigidity conjecture is true for B…
Double sided torus actions and complex geometry on
Hiroaki Ishida, Hisashi Kasuya
We construct explicit complex structures and transversely Kähler holomorphic foliations on corresponding to variations of real quadratic equations on a complex quadric in $…
Non-invariant deformations of left-invariant complex structures on compact Lie groups
Hiroaki Ishida, Hisashi Kasuya
We consider deformations of left-invariant complex structures on simply connected semisimple compact Lie groups which are a priori non-invariant. Computing their cohomologies, we s…
Basic cohomology of canonical holomorphic foliations on complex moment-angle manifolds
Hiroaki Ishida, Roman Krutowski, Taras Panov
We describe the basic cohomology ring of the canonical holomorphic foliation on a moment-angle manifold, LVMB-manifold or any complex manifold with a maximal holomorphic torus acti…
Towards transverse toric geometry
Hiroaki Ishida
We study certain foliated complex manifolds that behave similarly to complete nonsingular toric varieties. We classify them by combinatorial objects that we call marked fans. We de…
Transverse Kähler structures on central foliations of complex manifolds
Hiroaki Ishida, Hisashi Kasuya
For a compact complex manifold, we introduce holomorphic foliations associated with certain abelian subgroups of the automorphism group. Such foliations are generalizations of holo…
Torus invariant transverse Kähler foliations
Hiroaki Ishida
In this paper, we show the convexity of the image of a moment map on a transverse symplectic manifold equipped with a torus action under a certain condition. We also study properti…
Complex manifolds with maximal torus actions
Hiroaki Ishida
In this paper, we introduce the notion of maximal actions of compact tori on smooth manifolds and study compact connected complex manifolds equipped with maximal actions of compact…
Todd genera of complex torus manifolds
Hiroaki Ishida, Mikiya Masuda
In this paper, we prove that the Todd genus of a compact complex manifold of complex dimension with vanishing odd degree cohomology is one if the automorphism group of …
Completely integrable torus actions on complex manifolds with fixed points
Hiroaki Ishida, Yael Karshon
We show that if a holomorphic dimensional compact torus action on a compact connected complex manifold of complex dimension has a fixed point then the manifold is equivaria…
The cohomology ring of the GKM graph of a flag manifold of classical type
Yukiko Fukukawa, Hiroaki Ishida, Mikiya Masuda
If a closed smooth manifold with an action of a torus satisfies certain conditions, then a labeled graph $\mG_M$ with labeling in is associated with , which en…
Invariant stably complex structures on topological toric manifolds
Hiroaki Ishida
We show that any $(\C ^*)^n$-invariant stably complex structure on a topological toric manifold of dimension is integrable. We also show that such a manifold is weakly $(\C ^*…
Topological toric manifolds
Hiroaki Ishida, Yukiko Fukukawa, Mikiya Masuda
We introduce the notion of a topological toric manifold and a topological fan and show that there is a bijection between omnioriented topological toric manifolds and complete non-s…
(Filtered) cohomological rigidity of Bott towers
Hiroaki Ishida
A Bott tower is an iterated $\CP ^1$-bundle over a point, where each $\CP ^1$-bundle is the projectivization of a rank decomposable complex vector bundle. For a Bott tower, the…
Symplectic real Bott manifolds
Hiroaki Ishida
A real Bott manifold is the total space of an iterated $\RP ^1$-bundles over a point, where each $\RP^1$-bundle is the projectivization of a Whitney sum of two real line bundles. I…