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math.GT2022
An extension of the Thurston metric to projective filling currents
Jenya Sapir
We study the geometry of the space of projectivized filling geodesic currents . Bonahon showed that Teichmüller space, embeds into $…
math.GT2022
A length comparison theorem for geodesic currents
Jenya Sapir
We work with the space of geodesic currents on a closed surface of negative Euler characteristic. By prior work of the author with Sebastian Hensel, each fillin…