arXiv subjects

Yosuke Kano

Publications and source records attributed to Yosuke Kano.

2 recordsLinked to original sources

arXiv2014

Reeb orbits trapped by Denjoy minimal sets

Let $φ$ be any flow on $T^n$ obtained as the suspension of a diffeomorphism of $T^{n-1}$ and let $\mathcal A$ be any compact invariant set of $φ$. We realize $(\mathcal A, φ|_{\mathcal A})$ up to reparametrization as an invariant set of the Reeb flow of a contact form on $\mathbb R^{2n+1}$ equal to the standard contact form outside a compact set and defining the standard contact structure on all of $\mathbb R^{2n+1}$. This generalizes the construction of Geiges, Röttgen and Zehmisch.

math.SG↗

arXiv2012

Taut foliations and the actions of fundamental groups on leaf spaces and universal circles

Let $F$ be a leafwise hyperbolic taut foliation of a closed 3-manifold $M$ and let $L$ be the leaf space of the pullback of $F$ to the universal cover of $M$. We show that if $F$ has branching, then the natural action of $π_1(M)$ on $L$ is faithful. We also show that if $F$ has a finite branch locus $B$ whose stabilizer acts on $B$ nontrivially, then the stabilizer is an infinite cyclic group generated by an indivisible element of $π_1(M)$.

math.GT↗