Zobrazeno 1 - 10
of 111
pro vyhledávání: '"Matsushita, Takahiro"'
Autor:
Kawasaki, Morimichi, Kimura, Mitsuaki, Kodama, Hiroki, Matsuda, Yoshifumi, Matsushita, Takahiro, Orita, Ryuma
Many transformation groups on manifolds are simple, but their universal coverings are not. In the present paper, we study the concept of relatively simple group, that is, a group with the maximum proper normal subgroup. We show that many examples of
Externí odkaz:
http://arxiv.org/abs/2412.00839
We show a criterion for a skeleton of a manifold triangulation being embeddable into Euclidean space in terms of the complement of a submanifold. As an application, we obtain embeddability of a $(q-1)$-skeleton of a triangulation of an $S^p$-bundle o
Externí odkaz:
http://arxiv.org/abs/2410.17523
Autor:
Kawasaki, Morimichi, Kimura, Mitsuaki, Maruyama, Shuhei, Matsushita, Takahiro, Mimura, Masato
This article provides an expository account of the celebrated duality theorem of Bavard and three its strengthenings. The Bavard duality theorem connects scl (stable commutator length) and quasimorphisms on a group. Calegari extended the framework fr
Externí odkaz:
http://arxiv.org/abs/2406.04319
A simplicial complex $X$ is flag if it is isomorphic to the clique complex of some graph. Boulet, Fieux, and Jouve have shown that simple homotopy equivalence classes of such complexes are determined by the notion of $s$-homotopy defined on its $1$-s
Externí odkaz:
http://arxiv.org/abs/2312.10976
Autor:
Matsushita, Takahiro, Wakatsuki, Shun
We show that the dominance complex $\mathcal{D}(G)$ of a graph $G$ coincides with the combinatorial Alexander dual of the neighborhood complex $\mathcal{N}(\overline{G})$ of the complement of $G$. Using this, we obtain a relation between the chromati
Externí odkaz:
http://arxiv.org/abs/2312.02639
Autor:
Kawasaki, Morimichi, Kimura, Mitsuaki, Maruyama, Shuhei, Matsushita, Takahiro, Mimura, Masato
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 $scl_{G,N}$ on the mixed commutator subgroup $[G,N]$; when $N=G$, $scl_{G,N}$ equals the st
Externí odkaz:
http://arxiv.org/abs/2306.08618
The van Kampen-Flores theorem states that the $d$-skeleton of a $(2d+2)$-simplex does not embed into $\mathbb{R}^{2d}$. We prove the van Kampen-Flores theorem for triangulations of manifolds satisfying a certain condition on their Stiefel-Whitney cla
Externí odkaz:
http://arxiv.org/abs/2304.08043
Autor:
Kawasaki, Morimichi, Kimura, Mitsuaki, Maruyama, Shuhei, Matsushita, Takahiro, Mimura, Masato
A homogeneous quasimorphism $\phi$ on a normal subgroup $N$ of $G$ is said to be $G$-invariant if $\phi(gxg^{-1}) = \phi(x)$ for every $g \in G$ and for every $x \in N$. Invariant quasimorphisms have naturally appeared in symplectic geometry and the
Externí odkaz:
http://arxiv.org/abs/2212.11180
Autor:
Matsushita, Takahiro, Wakatsuki, Shun
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 spheres.
Comment: 13 pages, 7 figures, final version, to appear in
Comment: 13 pages, 7 figures, final version, to appear in
Externí odkaz:
http://arxiv.org/abs/2207.10363
Autor:
Matsushita, Takahiro, Wakatsuki, Shun
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.
Comment: 20 pages, 15 figures, minor revision, to appear in Topolo
Comment: 20 pages, 15 figures, minor revision, to appear in Topolo
Externí odkaz:
http://arxiv.org/abs/2203.16391