Infinitely many closed paths in the graph of Anosov flows
Dynamical Systems
2026-03-24 v2 Geometric Topology
Abstract
Given an Anosov flow on a closed 3-manifold, we are interested in the problem of whether or not making non-trivial Fried surgeries along a finite set of periodic orbits can produce a flow equivalent to itself. We show that for some suspension Anosov flows, there exist infinitely many pairs of periodic orbits satisfying this property.
Cite
@article{arxiv.2410.23551,
title = {Infinitely many closed paths in the graph of Anosov flows},
author = {Mario Shannon},
journal= {arXiv preprint arXiv:2410.23551},
year = {2026}
}