Papers by Sebastian Hurtado
Transactions of the American Mathematical Society, 2019
In this article, we study the smooth mapping class group of a surface S relative to a given Canto... more In this article, we study the smooth mapping class group of a surface S relative to a given Cantor set, that is the group of isotopy classes of orientation-preserving smooth diffeomorphisms of S which preserve this Cantor set. When the Cantor set is the standard ternary Cantor set, we prove that this group does not contain any distorted element. Moreover, we prove a weak Tits alternative for these groups.
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Papers by Sebastian Hurtado