18 citations · 42 across the 12 of their papers we have counts for
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math.GT2016
A Birman-Series type result for geodesics with infinitely many self-intersections
Jenya Sapir
Given a hyperbolic surface , a classic result of Birman and Series states that for each , all complete geodesics with at most self-intersections can only pass through a c…
math.GT2016
Building hyperbolic metrics suited to closed curves and applications to lifting simply
Tarik Aougab, Jonah Gaster, Priyam Patel +1
Let be an essential closed curve with at most self-intersections on a surface with negative Euler characteristic. In this paper, we construct a hyperbolic met…
math.GT2016★ 6 cited
Orbits of non-simple closed curves on a surface
Jenya Sapir
The mapping class group of a surface acts on the set of closed geodesics on . This action preserves self-intersection number. In this paper, we count the orbits of curves wi…