Lone axes in outer space

被引：6

作者：

Mosher, Lee ^{[1
]}

Pfaff, Catherine ^{[2
]}

机构：

[1] Rutgers Univ Newark, Dept Math & Comp Sci, Newark, NJ 07102 USA

[2] Univ Calif Santa Barbara, Dept Math, South Hall,Room 6607, Santa Barbara, CA 93106 USA

来源：

ALGEBRAIC AND GEOMETRIC TOPOLOGY | 2016年 / 16卷 / 06期

基金：

美国国家科学基金会;

关键词：

IDEAL WHITEHEAD GRAPHS; AUTOMORPHISMS; DYNAMICS;

D O I：

10.2140/agt.2016.16.3385

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

Handel and Mosher define the axis bundle for a fully irreducible outer automorphism in [Mem. Amer. Math. Soc. 1004 (2011)]. We give a necessary and sufficient condition for the axis bundle to consist of a unique periodic fold line. As a consequence, we give a setting, and means for identifying in this setting, when two elements of an outer automorphism group Out (F-r) have conjugate powers.

引用

页码：3385 / 3418

页数：34

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