Asymptotics of a class of Weil-Petersson geodesics and divergence of Weil-Petersson geodesics
classification
🧮 math.DS
math.DGmath.GT
keywords
geodesicsweil-peterssonclassdivergenceendinglaminationannularapplication
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We show that the strong asymptotic class of Weil-Petersson (WP) geodesics with narrow end invariant and bounded annular coefficients is determined by the forward ending lamination. This generalizes the Recurrent Ending Lamination Theorem of Brock-Masur-Minsky. As an application we provide a symbolic condition for divergence of WP geodesic rays in the moduli space.
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