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arxiv: 1401.3234 · v4 · pith:KHRDQIXVnew · submitted 2014-01-14 · 🧮 math.DS · math.DG· math.GT

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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