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Closed geodesics on hyperbolic surfaces with few intersections
Published 1 Mar 2024 in math.GT | (2403.00243v1)
Abstract: We prove that, if a closed geodesic $\Gamma$ on a complete finite type hyperbolic surface has at least 2 self-intersections, then the length of $\Gamma$ has an lower bound $2\log(5+2\sqrt6)$, and the lower bound is sharp, attained on a corkscrew geodesic on a thrice punctured sphere.
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