$Out(F_3)$ Index Realization
Group Theory
2014-09-09 v2 Geometric Topology
Abstract
By proving precisely which singularity index lists arise from the pair of invariant foliations for a pseudo-Anosov surface homeomorphism, Masur and Smillie determined a Teichmueller flow invariant stratification of the space of quadratic differentials. In this paper we determine an analog to the theorem for . That is, we determine which index lists permitted by the Gaboriau-Jaeger-Levitt-Lustig index sum inequality are achieved by fully irreducible outer automorphisms of the rank- free group.
Cite
@article{arxiv.1311.4490,
title = {$Out(F_3)$ Index Realization},
author = {Catherine Pfaff},
journal= {arXiv preprint arXiv:1311.4490},
year = {2014}
}
Comments
Readability improved & paper expanded to include more background on how the examples can be verified