Complete description of Agol cycles of pseudo-Anosov 3-braids
Geometric Topology
2023-12-08 v1
Abstract
The equivalence class of an Agol cycle is a conjugacy invariant of a pseudo-Anosov map. Mosher defined train tracks in the torus associated to Farey intervals and investigated the relation between the train tracks and the continued fraction expansions of quadratic irrational numbers. We study Mosher's train tracks and describe Agol cycles of all the pseudo-Anosov -braids.
Cite
@article{arxiv.2312.04486,
title = {Complete description of Agol cycles of pseudo-Anosov 3-braids},
author = {Keiko Kawamuro and Eiko Kin},
journal= {arXiv preprint arXiv:2312.04486},
year = {2023}
}
Comments
27 pages, 12 figures