21 citations · 46 across the 12 of their papers we have counts for
15 papers · 1 filter
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…
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…
Isospectral hyperbolic surfaces of infinite genus
Federica Fanoni
We show that any infinite-type surface without planar ends admits arbitrarily large families of length isospectral hyperbolic structures. If the surface has infinite genus and its…
Homeomorphic subsurfaces and the omnipresent arcs
Federica Fanoni, Tyrone Ghaswala, Alan McLeay
In this article, we are concerned with various aspects of arcs on surfaces. In the first part, we deal with topological aspects of arcs and their complements. We use this understan…
Big mapping class groups acting on homology
Federica Fanoni, Sebastian Hensel, Nicholas G. Vlamis
We study the action of (big) mapping class groups on the first homology of the corresponding surface. We give a precise characterization of the image of the induced homology repres…
Graphs of curves on infinite-type surfaces with mapping class group actions
Matthew Gentry Durham, Federica Fanoni, Nicholas G. Vlamis
We study when the mapping class group of an infinite-type surface admits an action with unbounded orbits on a connected graph whose vertices are simple closed curves on . We…
Basmajian-type inequalities for maximal representations
Federica Fanoni, Maria Beatrice Pozzetti
For suitable metrics on the locally symmetric space associated to a maximal representation, we prove inequalities between the length of the boundary and the lengths of orthogeodesi…
Mapping class group orbits of curves with self-intersections
Patricia Cahn, Federica Fanoni, Bram Petri
We study mapping class group orbits of homotopy and isotopy classes of curves with self-intersections. We exhibit the asymptotics of the number of such orbits of curves with a boun…
Simplicial embeddings between multicurve graphs
Viveka Erlandsson, Federica Fanoni
We study some graphs associated to a surface, called k-multicurve graphs, which interpolate between the curve complex and the pants graph. Our main result is that, under certain co…
Filling sets of curves on punctured surfaces
Federica Fanoni, Hugo Parlier
We study filling sets of simple closed curves on punctured surfaces. In particular we study lower bounds on the cardinality of sets of curves that fill and that pairwise intersect…
Systoles and kissing numbers of finite area hyperbolic surfaces
Federica Fanoni, Hugo Parlier
We study the number and the length of systoles on complete finite area orientable hyperbolic surfaces. In particular, we prove upper bounds on the number of systoles that a surface…
The maximum injectivity radius of hyperbolic orbifolds
Federica Fanoni
For two-dimensional orientable hyperbolic orbifolds, we show that the radius of a maximal embedded disk is greater or equal to an explicit constant ρ_T, with equality if and only i…