Mathematics – Geometric Topology
Scientific paper
2011-01-13
Mathematics
Geometric Topology
13 pages, 3 figures
Scientific paper
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 $g \geqslant 2$, 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 $a_2/g^2$.
Gadre Vaibhav
Tsai Chia-Yen
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