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math.GT2005
Immersions of Pants into a Fixed Hyperbolic Surface
Lewis Bowen
Exploiting a relationship between closed geodesics on a generic closed hyperbolic surface S and a certain unipotent flow on the product space T_1(S) x T_1(S), we obtain a local asy…
math.GT2004★ 10 cited
Weak Forms of the Ehrenpreis Conjecture and the Surface Subgroup Conjecture
Lewis Bowen
We prove the following: 1. Let epsilon>0 and let S_1,S_2 be two closed hyperbolic surfaces. Then there exists locally-isometric covers S'_i of S_i (for i=1,2) such that there is a…