Pseudo-Anosov mapping classes not arising from Penner's construction
Geometric Topology
2016-01-20 v3
Abstract
We show that Galois conjugates of stretch factors of pseudo-Anosov mapping classes arising from Penner's construction lie off the unit circle. As a consequence, we show that for all but a few exceptional surfaces, there are examples of pseudo-Anosov mapping classes so that no power of them arises from Penner's construction. This resolves a conjecture of Penner.
Keywords
Cite
@article{arxiv.1410.6974,
title = {Pseudo-Anosov mapping classes not arising from Penner's construction},
author = {Hyunshik Shin and Balázs Strenner},
journal= {arXiv preprint arXiv:1410.6974},
year = {2016}
}
Comments
12 pages, 1 figure