Limit sets of Weil-Petersson geodesics with nonminimal ending laminations

Jeffrey Brock; Christopher Leininger; Babak Modami; Kasra Rafi

doi:10.1142/S1793525319500456

Limit sets of Weil-Petersson geodesics with nonminimal ending laminations

Jeffrey Brock
, Christopher Leininger
, Babak Modami
, Kasra Rafi

Mathematics

Research output: Contribution to journal › Article › peer-review

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 Teichmüller space.

Original language	English (US)
Pages (from-to)	1-28
Number of pages	28
Journal	Journal of Topology and Analysis
Volume	12
Issue number	1
Early online date	Sep 10 2018
DOIs	https://doi.org/10.1142/S1793525319500456
State	Published - Mar 1 2020

Keywords

Thurston compactification
Weil-Petersson metric
non-positive curvature

ASJC Scopus subject areas

Analysis
Geometry and Topology

Online availability

10.1142/S1793525319500456

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title = "Limit sets of Weil-Petersson geodesics with nonminimal ending laminations",

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.",

keywords = "Thurston compactification, Weil-Petersson metric, non-positive curvature",

author = "Jeffrey Brock and Christopher Leininger and Babak Modami and Kasra Rafi",

note = "The first author was partially supported by NSF grant DMS-1207572, the second author by NSF grant DMS-1510034, the third by NSF grant DMS-1065872, and the fourth author by NSERC grant \# 435885.",

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AU - Brock, Jeffrey

AU - Leininger, Christopher

AU - Modami, Babak

AU - Rafi, Kasra

N1 - The first author was partially supported by NSF grant DMS-1207572, the second author by NSF grant DMS-1510034, the third by NSF grant DMS-1065872, and the fourth author by NSERC grant # 435885.

PY - 2020/3/1

Y1 - 2020/3/1

N2 - 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 Teichmüller space.

AB - 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 Teichmüller space.

KW - Thurston compactification

KW - Weil-Petersson metric

KW - non-positive curvature

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Limit sets of Weil-Petersson geodesics with nonminimal ending laminations

Abstract

Keywords

ASJC Scopus subject areas

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