7 citations · 7 across the 4 of their papers we have counts for
4 papers · 1 filter
Conjugacy classes of big mapping class groups
Jesús Hernández Hernández, Michael Hrušák, Israel Morales +3
We describe the topological behavior of the conjugacy action of the mapping class group of an orientable infinite-type surface on itself. Our main results are: (1) All conjugac…
Loxodromic elements in big mapping class groups via the Hooper-Thurston-Veech construction
Israel Morales, Ferran Valdez
Let be an infinite-type surface and . We show that the Thurston-Veech construction for pseudo-Anosov elements, adapted for infinite-type surfaces, produces infinitely m…
Isomorphisms between curve graphs of infinite-type surfaces are geometric
Jesús Hernández Hernández, Israel Morales, Ferrán Valdez
Let be a simplicial isomorphism between the curve graphs of two infinite-type surfaces. In this paper we show that in this situation and $S…
The Alexander method for infinite-type surfaces
Jesus Hernandez Hernandez, Israel Morales, Ferran Valdez
We prove that for any infinite-type orientable surface S there exists a collection of essential curves Γ in S such that any homeomorphism that preserves the isotopy classes of the…