实心环面中链环的一种单参数方法
几何拓扑
2008-10-23 v3
摘要
对一个实心环面中的有向链环，我们关联一个加厚环面中的迹图，使得链环同伦当且仅当它们的迹图可通过有限多种标准类型的变换相关联。关键要素是对链环图余维 2 奇点的研究。对于具有固定 strand 数的闭辫子，迹图可在关于辫长多项式时间内被识别到相差一种变换的等价。
引用
@article{arxiv.math/0606381,
title = {A 1-parameter approach to links in a solid torus},
author = {T. Fiedler and V. Kurlin},
journal= {arXiv preprint arXiv:math/0606381},
year = {2008}
}
备注
38 pages, 14 figures, the applications on closed braids were moved to another paper `Recognising trace graphs of closed braids' (arXiv:0808.2713), more details were added on versal deformations of codimension 2 singularities