Limit sets of Weil-Petersson geodesics with nonminimal ending laminations
Jeffrey Brock, Christopher Leininger, Babak Modami, Kasra Rafi
TL;DR
This paper constructs examples of Weil-Petersson geodesics with nonminimal ending laminations that exhibit 1-dimensional limit sets in the Thurston compactification of Teichmüller space, advancing understanding of geodesic behavior.
Contribution
It introduces new examples of Weil-Petersson geodesics with nonminimal ending laminations and analyzes their limit sets in the Thurston compactification.
Findings
Existence of Weil-Petersson geodesics with nonminimal ending laminations
These geodesics have 1-dimensional limit sets in the Thurston compactification
Provides insight into the structure of geodesic limit sets in Teichmüller space
Abstract
In this paper we construct examples of Weil-Petersson geodesics with nonminimal ending laminations which have 1-dimensional limit sets in the Thurston compactification of Teichm\"{u}ller space.
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