Volume 12, issue 1 (2008)

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Teichmüller geodesics that do not have a limit in $\mathcal{PMF}$

Anna Lenzhen

Geometry & Topology 12 (2008) 177–197
Abstract

We construct a Teichmüller geodesic which does not have a limit on the Thurston boundary of the Teichmüller space. We also show that for this construction the limit set is contained in a one-dimensional simplex in P.

Keywords
Teichmüller space, Thurston's boundary, geodesic, limit set
Mathematical Subject Classification 2000
Primary: 30F60, 32G15
Secondary: 32F45, 57M50
References
Publication
Received: 23 November 2006
Revised: 10 August 2007
Accepted: 25 October 2007
Published: 8 February 2008
Proposed: Benson Farb
Seconded: David Gabai, Walter Neumann
Authors
Anna Lenzhen
Department of Mathematics
University of Michigan
530 Church Street
Ann Arbor MI 48109
USA