12 citations · 32 across the 12 of their papers we have counts for
15 papers
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…
Arithmeticity of the Kontsevich--Zorich monodromies of certain families of square-tiled surfaces
Etienne Bonnafoux, Manuel Kany, Pascal Kattler +5
The variations of Hodge structures of weight one associated to square-tiled surfaces naturally generate interesting subgroups of integral symplectic matrices called Kontsevich--Zor…
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…