3 citations · 6 across the 3 of their papers we have counts for
5 papers · 1 filter
Injectivity and continuity of the intersection form in infinite type
Tommaso Cremaschi, Didac Martinez-Granado
We study two fundamental properties of the intersection pairing between geodesic currents on infinite-type surfaces which are classical in the finite-type closed setting: injectivi…
Dual spaces of geodesic currents
Luca De Rosa, Dídac Martínez-Granado
Every geodesic current on a hyperbolic surface has an associated dual space. If the current is a lamination, this dual embeds isometrically into a real tree. We show that, in gener…
Volume bounds for the canonical lift complement of a random geodesic
Tommaso Cremaschi, Yannick Krifka, Dídac Martínez-Granado +1
Given a filling primitive geodesic curve in a closed hyperbolic surface one obtains a hyperbolic three-manifold as the complement of the curve's canonical lift to the projective ta…
The extremal length systole of the Bolza surface
Maxime Fortier Bourque, Dídac Martínez-Granado, Franco Vargas Pallete
We prove that the extremal length systole of genus two surfaces attains a strict local maximum at the Bolza surface, where it takes the value .
From curves to currents
Dídac Martínez-Granado, Dylan P. Thurston
Many natural real-valued functions of closed curves are known to extend continuously to the larger space of geodesic currents. For instance, the extension of length with respect to…