18 citations · 72 across the 15 of their papers we have counts for
5 papers · 1 filter
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…
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 …
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…
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…