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arXiv · 2108.08215

Goodman-Fried surgery, Birkhoff section, and R-covered Anosov flows

Masayuki Asaoka
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Abstract

In this paper, we show that any topologically transitive Anosov flow on a closed three-dimensional manifold with the orientable weak stable and unstable foliations turns into an R-covered one by a Goodman-Fried surgery along periodic points. When a Birkhoff section of the Anosov flow is given, we can choose the periodic points from the boundary of the Birkhoff section.

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Masayuki Asaoka. 2021-08-18. Goodman-Fried surgery, Birkhoff section, and R-covered Anosov flows. https://arxiv.org/abs/2108.08215

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