4 papers · 1 filter
Stars at infinity in the Thurston boundary
Meenakshy Jyothis, Jing Tao
We study the stars at infinity in the Thurston boundary of Teichmüller space for the Thurston and Teichmüller metrics. For the Thurston metric, we prove that for every finite-type…
Geodesic currents of coarse negative curvature
Meenakshy Jyothis, Dídac Martínez-Granado
Strong hyperbolicity is a coarse notion of negative curvature, stronger than Gromov hyperbolicity, that includes all CAT(-k) metrics for k positive and allows the use of dynamical…
Horoboundary and rigidity of filling geodesic currents
Meenakshy Jyothis, Dídac Martínez-Granado
We endow the space of projective filling geodesic currents on a closed hyperbolic surface with a natural asymmetric metric extending Thurston's asymmetric metric on Teichmüller spa…
Towards Ivanov's meta-conjecture for geodesic currents
Meenakshy Jyothis
Given a closed, orientable surface of negative Euler characteristic, we study two automorphism groups: and , groups of homeomorphisms that…