虚弦及其配边
几何拓扑
2016-09-07 v5 代数拓扑
摘要
虚弦是曲面上一条闭曲线的自交方案。我们研究弦的代数不变量以及弦集合上的两种等价关系:同伦与配边。我们证明弦的同伦不变量构成一个无限维李群。我们还讨论了虚弦与虚结之间的关联。
引用
@article{arxiv.math/0311185,
title = {Virtual strings and their cobordisms},
author = {Vladimir Turaev},
journal= {arXiv preprint arXiv:math/0311185},
year = {2016}
}
备注
32 pages, 1 figure. This is an extended version of my preprint math.GT/0310218. Section 8.4 on secondary obstructions to sliceness is modified; coverings of strings and higher u-polynomials are added