Lone axes in outer space

Lee Mosher, Catherine Pfaff

Research output: Contribution to journalArticlepeer-review

2 Scopus citations

Abstract

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(Fr)have conjugate powers.

Original languageEnglish (US)
Pages (from-to)3385-3418
Number of pages34
JournalAlgebraic and Geometric Topology
Volume16
Issue number6
DOIs
StatePublished - Dec 15 2016

All Science Journal Classification (ASJC) codes

  • Geometry and Topology

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