Zobrazeno 1 - 10
of 53
pro vyhledávání: '"Kawasaki, Morimichi"'
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
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
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:
Kawasaki, Morimichi, Kimura, Mitsuaki, Maruyama, Shuhei, Matsushita, Takahiro, Mimura, Masato
In the present paper, for a pair $(G,N)$ of a group $G$ and its normal subgroup $N$, we consider the mixed commutator length $\mathrm{cl}_{G,N}$ on the mixed commutator subgroup $[G,N]$. We focus on the setting of wreath products: $ (G,N)=(\mathbb{Z}
Externí odkaz:
http://arxiv.org/abs/2203.04048
Autor:
Kawasaki, Morimichi, Kimura, Mitsuaki, Maruyama, Shuhei, Matsushita, Takahiro, Mimura, Masato
For a pair $(G,N)$ of a group $G$ and its normal subgroup $N$, we consider the space of quasimorphisms and quasi-cocycles on $N$ non-extendable to $G$. To treat this space, we establish the five-term exact sequence of cohomology relative to the bound
Externí odkaz:
http://arxiv.org/abs/2107.08571
Publikováno v:
Geometric and Functional Analysis (2023)
Let $(S,\omega)$ be a closed connected oriented surface whose genus $l$ is at least two equipped with a symplectic form. Then we show the vanishing of the cup product of the fluxes of commuting symplectomorphisms. This result may be regarded as an ob
Externí odkaz:
http://arxiv.org/abs/2102.12161
Autor:
Kawasaki, Morimichi, Maruyama, Shuhei
In this paper, we characterize the second bounded characteristic classes of foliated bundles in terms of the non-descendible quasi-morphisms on the universal covering of the structure group. As its application, we study the boundedness of obstruction
Externí odkaz:
http://arxiv.org/abs/2012.10612
Let $N$ be a normal subgroup of a group $G$. A quasimorphism $f$ on $N$ is $G$-invariant if $f(gxg^{-1}) = f(x)$ for every $g \in G$ and every $x \in N$. The goal in this paper is to establish Bavard's duality theorem of $G$-invariant quasimorphisms,
Externí odkaz:
http://arxiv.org/abs/2007.02257
Autor:
Kawasaki, Morimichi, Kimura, Mitsuaki
Let $\hat{G}$ be a group and $G$ its normal subgroup. In this paper, we study $\hat{G}$-invariant quasimorphisms on $G$ which appear in symplectic geometry and low dimensional topology. As its application, we prove the non-existence of a section of t
Externí odkaz:
http://arxiv.org/abs/1911.10855
Autor:
Kawasaki, Morimichi, Orita, Ryuma
(Non-)displaceability of fibers of integrable systems has been an important problem in symplectic geometry. In this paper, for a large class of classical Liouville integrable systems containing the Lagrangian top, the Kovalevskaya top and the C. Neum
Externí odkaz:
http://arxiv.org/abs/1905.13112