交错+非手性纽结的可见性
几何拓扑
2021-04-02 v4
摘要
本文致力于研究素交错+非手性纽结。在树状纽结的情况下，我们在+AAA可见性定理5.1中证明，该对称性在某个（不一定极小的）投影上可见，并且它由4阶同胚实现。在一般情况（无论是否树状）下，若素交错纽结没有使+非手性可见的极小投影，我们证明+非手性的阶必然等于4。
引用
@article{arxiv.1503.01897,
title = {On the Visibility of Alternating +Achiral Knots},
author = {Nicola Ermotti and Cam Van Quach Hongler and Claude Weber},
journal= {arXiv preprint arXiv:1503.01897},
year = {2021}
}
备注
42 pages, 34 figures, includes a number of corrections and clarifications over the previous version, as well as figure modifications. This version is to appear in Communications in Analysis and Geometry