Masur’s criterion does not hold in the Thurston metric
Ivan Telpukhovskiy
University of Toronto, Canada; Saint Petersburg State University, Russia
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Abstract
We show that there is a minimal, filling, and non-uniquely ergodic lamination on the seven-times punctured sphere with uniformly bounded annular projection distances. Moreover, we show that there is a geodesic in the thick part of the corresponding Teichmüller space equipped with the Thurston metric which converges to . This provides a counterexample to an analog of Masur's criterion for Teichmüller space equipped with the Thurston metric.
Cite this article
Ivan Telpukhovskiy, Masur’s criterion does not hold in the Thurston metric. Groups Geom. Dyn. 17 (2023), no. 4, pp. 1435–1481
DOI 10.4171/GGD/736