论文标题
一类间隔的一组分段线性同态性形态形态不平滑的性能
Non-smoothability for a class of groups of piecewise linear homeomorphisms of the interval
论文作者
论文摘要
对于一定类别的一组间隔的分段线性同态性，我们证明他们承认在线上没有足够的定期忠实行动。在Brum，Matte Bon，Rivas和作者[Arxiv：2104.14678]的先前工作的基础上，新成分是从最近的Hyde和Tatch Moore [Arxiv：2103.14911]的工作中观察到的，这允许将问题降低到圈子的情况下，然后应用Herman Yoccoz理论。
For a certain class of groups of piecewise linear homeomorphisms of the interval, we prove that they admit no sufficiently regular faithful action on the line. Building on previous work of Brum, Matte Bon, Rivas, and the author [arXiv:2104.14678], the new ingredient is an observation from a recent work of Hyde and Tatch Moore [arXiv:2103.14911], which allows to reduce the problem to the case of the circle, and then apply Herman-Yoccoz theory.
