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arXiv · 2605.25082

Exotic codimension one Anosov flows

Sergio Fenley·Kathryn Mann·Rafael Potrie
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Abstract

We construct Anosov flows in certain circle bundles over closed hyperbolic 3-manifolds, producing counterexamples to a conjecture of Verjovsky. Some of these 4-manifolds admit infinitely many distinct Anosov flows up to orbit equivalence. The construction is made by using Cannon-Thurston maps associated to pseudo-Anosov quasigeodesic flows in hyperbolic $3$-manifolds.

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Sergio Fenley, Kathryn Mann, Rafael Potrie. 2026-05-24. Exotic codimension one Anosov flows. https://arxiv.org/abs/2605.25082

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