12 citations · 32 across the 12 of their papers we have counts for
9 papers · 1 filter
Stellar foliation structures on surfaces
W. Patrick Hooper, Ferrán Valdez, Barak Weiss
We introduce the notion of a zebra structure on a surface, which is a more general geometric structure than a translation structure or a dilation structure that still gives a direc…
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…
Veech groups of infinite genus surfaces
Camilo Ramirez Maluendas, Ferran Valdez
We show that every countable subgroup without contracting elements is the Veech group of a tame translation surface of infinite genus, for infinitely…