Random veering triangulations are not geometric

被引：6

作者：

Futer, David ^{[1
]}

Taylor, Samuel ^{[1
]}

Worden, William ^{[2
]}

机构：

[1] Temple Univ, Dept Math, 1805 N Broad St, Philadelphia, PA 19122 USA

[2] Rice Univ, Dept Math, MS 136,6100 Main St, Houston, TX 77005 USA

来源：

GROUPS GEOMETRY AND DYNAMICS | 2020年 / 14卷 / 03期

关键词：

Mapping class group; random walk; pseudo-Anosov; veering triangulation; KLEINIAN SURFACE GROUPS; TEICHMULLER; GEODESICS; CLASSIFICATION; 3-MANIFOLDS; INVARIANTS; FOLIATIONS; THEOREM; SPACE;

D O I：

10.4171/GGD/575

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

Every pseudo-Anosov mapping class phi defines an associated veering triangulation tau(phi) of a punctured mapping torus. We show that generically, tau(phi) is not geometric. Here, the word "generic" can be taken either with respect to random walks in mapping class groups or with respect to counting geodesics in moduli space. Tools in the proof include Teichmfiller theory, the Ending Lamination Theorem, study of the Thurston norm, and rigorous computation.

引用

页码：1077 / 1126

页数：50

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