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arXiv 2608.13526math.DS

图流形上伪Anosov流的粘合唯一性与虚有限性

Uniqueness of gluings and virtual finiteness of pseudo-Anosov flows on graph manifolds

Thomas Barthelmé, Neige Paulet

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中文总结 AI 辅助

本文刻画了粘合得到的伪Anosov流的轨道等价条件,结合相关描述证明了图流形上可递伪Anosov流有限性猜想的虚版本。

中文摘要 AI 辅助

本文刻画了通过粘合伪Anosov流片段得到的两个伪Anosov流何时轨道等价。结合Barbot和Fenley关于Seifert片段中伪Anosov流的描述,作为本工作的应用,我们证明了图流形上可递伪Anosov流的有限性猜想的“虚”版本。

英文摘要

In this article, we give a characterization of when two pseudo-Anosov flows obtained via gluings of pieces of pseudo-Anosov flows are orbit equivalent. As an application of this work, and the description of pseudo-Anosov flows in Seifert pieces due to Barbot and Fenley, we prove a ``virtual'' version of the Finiteness Conjecture for transitive pseudo-Anosov flows on graph-manifolds.

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