31 citations · 111 across the 46 of their papers we have counts for
8 papers · 2 filters
Two-dimensional Golod complexes
Kouyemon Iriye, Daisuke Kishimoto
We characterize two-dimensional Golod complexes combinatorially by vertex-breakability and topologically by the fat-wedge filtration of a polyhedral product. Applying the character…
Monoids of self-maps of topological spherical space forms
Daisuke Kishimoto, Nobuyuki Oda
A topological spherical space form is the quotient of a sphere by a free action of a finite group. In general, their homotopy types depend on specific actions of a group. We show t…
Note on Samelson products in exceptional Lie groups
Daisuke Kishimoto, Akihiro Ohsita, Masahiro Takeda
We determine (non-)triviality of Samelson products of inclusions of factors of the mod decomposition of for . This completes the determ…
Spaces of commuting elements in the classical groups
Daisuke Kishimoto, Masahiro Takeda
Let be the classical group, and let Hom denote the space of commuting -tuples in . First, we refine the formula for the Poincaré series of Hom$(\mathbb{…
Homotopy type of the space of finite propagation unitary operators on
Tsuyoshi Kato, Daisuke Kishimoto, Mitsunobu Tsutaya
The index theory for the space of finite propagation unitary operators was developed by Gross, Nesme, Vogts and Werner from the viewpoint of quantum walks in mathematical physics.…
On the growth of topological complexity
Daisuke Kishimoto, Atsushi Yamaguchi
Let denote the -th topological complexity of a space . In many cases, the generating function is a rational function…