Lone axes in outer space

Mosher, Lee¹ ; Pfaff, Catherine²

¹Department of Mathematics and Computer Science, Rutgers University Newark, Newark, NJ 07102, United States
²Department of Mathematics, University of California, Santa Barbara, South Hall, Room 6607, Santa Barbara, CA 93106, United States

Algebraic and Geometric Topology, Tome 16 (2016) no. 6, pp. 3385-3418

Résumé

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.

Détail

DOI : 10.2140/agt.2016.16.3385

Classification : 20F65, 05E18, 57M07
Keywords: outer automorphism, fully irreducible, axis bundle, conjugacy problem

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