12 papers
Isospectrality and isometry groups for infinite-type hyperbolic surfaces with discrete length spectrum
Federica Fanoni, David Fisac
We study infinite-type hyperbolic surfaces with discrete length spectrum. In this setup, we show that Sunada's method can only produce finite isospectral families, but that there i…
Approximating stable translation lengths on fine curve graphs
Federica Fanoni, Sebastian Hensel, Frédéric Le Roux
We study the stable translation length of homeomorphisms of a surface acting on the fine nonseparating curve graph and compare it to the stable translation lengths of its finite ap…
A big mapping class acting parabolically on the nonseparating curve graph
Federica Fanoni, Sebastian Hensel
We use fine curve graph tools to prove that there exist parabolic isometries of graphs of curves associated to surfaces of infinite type.
Orthosystoles and orthokissing numbers
Ara Basmajian, Federica Fanoni
For hyperbolic surfaces with geodesic boundary, we study the orthosystole, i.e. the length of a shortest essential arc from the boundary to the boundary. We recover and extend work…
Towards Nielsen-Thurston classification for surfaces of infinite type: well-tempered homeomorphisms
Mladen Bestvina, Federica Fanoni, Jing Tao
We introduce and study tempered mapping classes of surfaces of infinite type. These are maps for which curves under iteration do not accumulate onto geodesic laminations with non-p…
Multitwists in big mapping class groups
George Domat, Federica Fanoni, Sebastian Hensel
We show that the closure of the compactly supported mapping class group of an infinite-type surface is not generated by the collection of multitwists (i.e. products of powers of tw…