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arXiv · 2410.23551

Infinitely many closed paths in the graph of Anosov flows

Mario Shannon
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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.

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Mario Shannon. 2024-10-31. Infinitely many closed paths in the graph of Anosov flows. https://arxiv.org/abs/2410.23551

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