Geodesic
Asymptotics of a class of Weil–Petersson geodesics and divergence of Weil–Petersson geodesics
Modami, Babak1
1Department of Mathematics, University of Illinois at Urbana-Champaign, 1409 W Green St, Urbana, IL 61801, USA
Algebraic and Geometric Topology, Tome 16 (2016) no. 1, pp. 267-323
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We show that the strong asymptotic class of Weil–Petersson geodesic rays with narrow end invariant and bounded annular coefficients is determined by the forward ending laminations of the geodesic rays. This generalizes the recurrent ending lamination theorem of Brock, Masur and Minsky. As an application we provide a symbolic condition for divergence of Weil–Petersson geodesic rays in the moduli space.

DOI : 10.2140/agt.2016.16.267
Classification : 30F60, 32G15, 37D40
Keywords: Teichmüller space, Weil–Petersson metric, ending lamination, strongly asymptotic geodesics, divergent geodesics, stable manifold, Jacobi field

Modami, Babak  1

1 Department of Mathematics, University of Illinois at Urbana-Champaign, 1409 W Green St, Urbana, IL 61801, USA 
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Modami, Babak. Asymptotics of a class of Weil–Petersson geodesics and divergence of Weil–Petersson geodesics. Algebraic and Geometric Topology, Tome 16 (2016) no. 1, pp. 267-323. doi: 10.2140/agt.2016.16.267

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