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math.CV2014★ 1 cited
The converse of the Schwarz Lemma is false
Maxime Fortier Bourque
Let be a homeomorphism between hyperbolic surfaces with finite topology. If is homotopic to a holomorphic map, then every closed geodesic in is at least as long…
math.GT2014
Conformal grafting and convergence of Fenchel-Nielsen twist coordinates
Maxime Fortier Bourque
We cut a hyperbolic surface of finite area along some analytic simple closed curves, and glue in cylinders of varying moduli. We prove that as the moduli of the glued cylinders go…