Teichmüller geodesics that do not have a limit in 𝒫ℳℱ

Lenzhen, Anna

doi:10.2140/gt.2008.12.177

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

Anna Lenzhen

Geometry & Topology 12 (2008) 177–197

DOI: 10.2140/gt.2008.12.177

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 $P ℳ ℱ$ .

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

Volume 12, issue 1 (2008)