7 citations · 7 across the 4 of their papers we have counts for
6 papers
Realising countable groups as automorphisms of origamis on the Loch Ness monster
Rubén A. Hidalgo, Israel Morales
It is known that every finite group can be represented as the full group of automorphisms of a suitable compact origami. In this paper, we provide a short argument to note that the…
Parabolicity of zero-twist tight flute surfaces and uniformization of the Loch Ness monster
John A. Arredondo, Israel Morales, Camilo Ramírez Maluendas
We study the zero-twist flute surface and we associate to each one of them a sequence of positive real numbers , with a torsion-free Fuchsi…
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…