2 citations · 3 across the 4 of their papers we have counts for
4 papers · 1 filter
The forcing partial order on a family of braids forced by pseudo-Anosov 3-braids
Eiko Kin
Li-York theorem tells us that a period 3 orbit for a continuous map of the interval into itself implies the existence of a periodic orbit of every period. This paper concerns an an…
An asymptotic behavior of the dilatation for a family of pseudo-Anosov braids
Eiko Kin, Mitsuhiko Takasawa
The dilatation of a pseudo-Anosov braid is a conjugacy invariant. In this paper, we study the dilatation of a special family of pseudo-Anosov braids. We prove an inductive formula…
A family of pseudo-Anosov braids with small dilatation
Eriko Hironaka, Eiko Kin
This paper concerns a family of pseudo-Anosov braids with dilatations arbitrarily close to one. The associated graph maps and train tracks have stable "star-like" shapes, and the c…
Flowlines transverse to fibred knots and links
R. Ghrist, E. Kin
We consider vector fields on knot/link complements in which are transverse to the fibres of a fibration of the complement over a circle. We prove that a large class of fibred…