曲面上二次微分的可公度性
几何拓扑
2017-05-10 v1
摘要
我们考虑曲面上二次微分的可公度性。每个可公度类通过覆盖关系具有自然序。我们证明每个可公度类包含一个唯一的（轨道折叠）元素。我们还讨论了二次微分的可公度性与纤维可公度性（由 Calegari-Sun-Wang 引入的概念）之间的关系。
引用
@article{arxiv.1705.03199,
title = {On commensurability of quadratic differentials},
author = {Hidetoshi Masai},
journal= {arXiv preprint arXiv:1705.03199},
year = {2017}
}
备注
5 pages. To appear in RIMS Kokyuroku Bessatsu. This is a preprint version. This paper was written and accepted while the author was in University of Tokyo