Recognising perfect fits
Geometric Topology
2025-12-02 v2
Abstract
A pseudo-Anosov flow is said to have perfect fits if there are stable and unstable leaves that are asymptotic in the universal cover. We give an algorithm to decide, given a box decomposition of a pseudo-Anosov flow, if the flow has perfect fits. As a corollary, we obtain an algorithm to decide whether two flows without perfect fits are orbit equivalent.
Cite
@article{arxiv.2501.00232,
title = {Recognising perfect fits},
author = {Layne Hall},
journal= {arXiv preprint arXiv:2501.00232},
year = {2025}
}
Comments
v2: 37 pages, 19 figures; moderate revisions throughout. To appear in Groups, Geometry, and Dynamics