Asymptotics of a class of Weil-Petersson geodesics and divergence of Weil-Petersson geodesics
arXiv:1401.3234 · doi:10.2140/agt.2016.16.267
Abstract
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.
50 pages, 2 figures