A recipe for short-word pseudo-Anosovs
| Autor: | Mangahas, Johanna |
|---|---|
| Rok vydání: | 2010 |
| Předmět: | |
| Druh dokumentu: | Working Paper |
| Popis: | 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. Comment: 24 pages, 5 figures |
| Databáze: | arXiv |
| Externí odkaz: |
|