A recipe for short-word pseudo-Anosovs

Johanna Mangahas

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arXiv · 1008.2217

A recipe for short-word pseudo-Anosovs

Johanna Mangahas

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Abstract

Given any generating set of any pseudo-Anosov-containing subgroup of the mapping class group of a surface, we construct a pseudo-Anosov with word length bounded by a constant depending only on the surface. More generally, in any subgroup G we find an element f with the property that the minimal subsurface supporting a power of f is as large as possible for elements of G; the same constant bounds the word length of f. Along the way we find new examples of convex cocompact free subgroups of the mapping class group.

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Johanna Mangahas. 2010-08-12. A recipe for short-word pseudo-Anosovs. https://arxiv.org/abs/1008.2217

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