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math.GT2013
An effective algebraic detection of the Nielsen--Thurston classification of mapping classes
Thomas Koberda, Johanna Mangahas
In this article, we propose two algorithms for determining the Nielsen-Thurston classification of a mapping class on a surface . We start with a finite generating set fo…
math.GT2013★ 6 cited
Right-angled Artin groups and finite subgraphs of curve graphs
Sang-hyun Kim, Thomas Koberda
We show that for a sufficiently simple surface , a right-angled Artin group embeds into $\Mod(S)$ if and only if embeds into the curve graph $\mC(S)$ as an induced su…