Small asymptotic translation lengths of pseudo-Anosov maps on the curve complex

Eiko Kin, Hyunshik Shin

Let $M$ be a hyperbolic fibered 3-manifold with $b_1(M)\ge 2$ and let $S$ be a fiber with pseudo-Anosov monodromy $\psi$. We show that there exists a sequence $(R_n,{\psi }_n)$ of fibers…