Minimal pseudo-Anosov translation lengths on the complex of curves

Abstract

We establish bounds on the minimal asymptotic pseudo-Anosov translation lengths on the complex of curves of orientable surfaces. In particular, for a closed surface with genus $g⩾2$, we show that there are positive constants $a_1<a_2$ such that the minimal translation length is bounded below and above by $a_1/g^2$ and $a_2/g^2$.

13 pages, 3 figures

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