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arXiv · 2212.06483

Oriented Birkhoff sections of Anosov flows

Masayuki Asaoka·Christian Bonatti·Théo Marty
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Abstract

This paper gives 3 different proofs (independently obtained by the 3 authors) of the following fact: given an Anosov flow on an oriented 3 manifold, the existence of a positive Birkhoff section is equivalent to the fact that the flow is $\mathbb{R}$-covered positively twisted.

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Masayuki Asaoka, Christian Bonatti, Théo Marty. 2024-07-29. Oriented Birkhoff sections of Anosov flows. https://doi.org/10.1112/topo.12356

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