Goodman-Fried surgery, Birkhoff section, and R-covered Anosov flows
arXiv:2108.08215
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.
This paper is merged into arXiv:2212.06483