7 citations · 17 across the 12 of their papers we have counts for
12 papers
Homotopy commutativity in quasitoric manifolds
Sho Hasui, Daisuke Kishimoto, Yichen Tong +1
We prove that the loop space of a quasitoric manifold is homotopy commutative if and only if the underlying polytope is a product of -simplices and the characteristic…
The Stiefel-Whitney classes of moment-angle manifolds are trivial
Sho Hasui, Daisuke Kishimoto, Akatsuki Kizu
We prove that the Stiefel-Whitney classes of a moment-angle manifold, not necessarily smooth, are trivial. We also consider Stiefel-Whitney classes of the partial quotient of a mom…
Tverberg's theorem for cell complexes
Sho Hasui, Daisuke Kishimoto, Masahiro Takeda +1
The topological Tverberg theorem states that any continuous map of a -simplex into the Euclidean -space maps some points from pairwise disjoint faces of the simp…
Odd primary homotopy types of the gauge groups of exceptional Lie groups
Sho Hasui, Daisuke Kishimoto, Tseleung So +1
The -local homotopy types of gauge groups of principal -bundles over are classified when is a compact connected exceptional Lie group without -torsion in homolog…
Classification of toric manifolds over an -cube with one vertex cut
Sho Hasui, Hideya Kuwata, Mikiya Masuda +1
We say that a complete nonsingular toric variety (called a toric manifold in this paper) is over if its quotient by the compact torus is homeomorphic to as a manifold with…
Samelson products in quasi--regular exceptional Lie groups
Sho Hasui, Daisuke Kishimoto, Toshiyuki Miyauchi +1
There is a product decomposition of a compact connected Lie group at the prime , called the mod decomposition, when has no -torsion in homology. Then in studying…
Higher homotopy commutativity in localized Lie groups and gauge groups
Sho Hasui, Daisuke Kishimoto, Mitsunobu Tsutaya
The first aim of this paper is to study the -local higher homotopy commutativity of Lie groups in the sense of Sugawara. The second aim is to apply this result to the -local…
-local stable splitting of quasitoric manifolds
Sho Hasui, Daisuke Kishimoto, Takashi Sato
We show a homotopy decomposition of -localized suspension of a quasitoric manifold by constructing power maps. As an application we investigate the -localized…
On the cohomology equivalences between bundle-type quasitoric manifolds over a cube
Sho Hasui
The aim of this article is to establish the notion of bundle-type quasitoric manifolds and provide two classification results on them: (1) ()-bund…
Samelson products in p-regular exceptional Lie groups
Sho Hasui, Daisuke Kishimoto, Akihiro Ohsita
The (non)triviality of Samelson products of the inclusions of the spheres into p-regular exceptional Lie groups is completely determined, where a connected Lie group is called p-re…
Strong cohomological rigidity of quasitoric manifolds over the 3-cube
Sho Hasui
A quasitoric manifold is a smooth manifold with a locally standard torus action for which the orbit space is identified with a simple polytope. For a class of topological spaces, t…
On the classification of quasitoric manifolds over the dual cyclic polytopes
Sho Hasui
For a simple -polytope , a quasitoric manifold over is a -dimensional smooth manifold with a locally standard action of the -dimensional torus for which the orbit…