Takahiro Matsushita

activity

20162023

most citedLoop space construction of bigraphs and box complexes

1 citations · 1 across the 7 of their papers we have counts for

collaborators

20 papers

math.GR2023

Coarse group theoretic study on stable mixed commutator length

Morimichi Kawasaki, Mitsuaki Kimura, Shuhei Maruyama +2

Let $G$ be a group and $N$ a normal subgroup of $G$ . We study the large scale behavior, not the exact values themselves, of the stable mixed commutator length $sc l_{G, N}$ on the mi…

math.AT2023

Van Kampen-Flores theorem and Stiefel-Whitney classes

Daisuke Kishimoto, Takahiro Matsushita

The van Kampen-Flores theorem states that the $d$ -skeleton of a $(2 d + 2)$ -simplex does not embed into $R^{2 d}$ . We prove the van Kampen-Flores theorem for triangulations of…

math.GR2022

Survey on invariant quasimorphisms and stable mixed commutator length

Morimichi Kawasaki, Mitsuaki Kimura, Shuhei Maruyama +2

A homogeneous quasimorphism $ϕ$ on a normal subgroup $N$ of $G$ is said to be $G$ -invariant if $ϕ (g x g^{- 1}) = ϕ (x)$ for every $g \in G$ and for every $x \in N$ . Invariant quasimorp…

math.AT2022

Independence complexes of $(n \times 6)$ -grid graphs

Takahiro Matsushita, Shun Wakatsuki

We determine the homotopy types of the independence complexes of the $(n \times 6)$ -square grid graphs. In fact, we show that these complexes are homotopy equivalent to wedges of s…

math.AT2022

Independence complexes of $(n \times 4)$ and $(n \times 5)$ -grid graphs

Takahiro Matsushita, Shun Wakatsuki

We determine the homotopy types of the independence complexes of $(n \times 4)$ and $(n \times 5)$ -square grid graphs. In fact, they are homotopy equivalent to wedges of spheres.

math.GT2022

Invariant quasimorphisms for groups acting on the circle and non-equivalence of SCL

Shuhei Maruyama, Takahiro Matsushita, Masato Mimura

We construct invariant quasimorphisms for groups acting on the circle. Furthermore, we provide a criterion for the non-extendablity of the resulting quasimorphisms and an explicit…