Long turns, INP's and index for free group automorphisms

Abstract

The goal of this paper is to introduce a new tool, called {\em long turns}, which is a useful addition to the train track technology for automorphisms of free groups, in that it allows one to control periodic INPs in a train track map and hence the index of the induced automorphism.

25 pages, revised version

References in corpus (1)

• A train track directed random walk on $Out(F_r)$

Cited by in corpus (1)

• North-South dynamics of hyperbolic free group automorphisms on the space of currents