通过环面扭结构造切片结
几何拓扑
2015-03-10 v4
摘要
我们给出了一种通过环面扭结构造切片结的新方法。利用该方法得到的最简单的切片结是 Omae 所构造的结。在本文中，我们引入了一个充分条件以判断给定的切片结是否为 ribbon 结，并证明了所有 Omae 的结均为 ribbon 结。
引用
@article{arxiv.1305.7492,
title = {A construction of slice knots via annulus twists},
author = {Tetsuya Abe and Motoo Tange},
journal= {arXiv preprint arXiv:1305.7492},
year = {2015}
}
备注
26 pages and 28 figures. Comments are welcome.Version 2: A new section added. Version 3: The definition of an annulus twist was clarified. The anonymous referee pointed out a gap of Theorem 3.1. The statement of Theorem 3.1 was weakened. Version 4: Abstract, Introduction and Section 6 are rewritten