Resumen de Minimal length of two intersecting simple closed geodesics

Thomas Gauglhofer, Hugo Parlier

• On a hyperbolic Riemann surface, given two simple closed geodesics that intersect n times, we address the question of a sharp lower bound L n on the length attained by the longest of the two geodesics. We show the existence of a surface S n on which there exists two simple closed geodesics of length L n intersecting n times and explicitly find L n for .