Rasmussen 不变量、Slice-Bennequin 不等式与纽结的平滑切片性
几何拓扑
2018-06-19 v2
摘要
我们利用最近引入的 Rasmussen 不变量来寻找拓扑局部平坦切片但并非平滑切片的纽结。我们注意到该不变量可用于给出 slice-Bennequin 不等式的组合证明。最后，我们计算了拟正纽结的 Rasmussen 不变量，并表明我们大多数的非切片纽结例子不是拟正的，且据我们所知此前未知。
引用
@article{arxiv.math/0411643,
title = {Rasmussen invariant, Slice-Bennequin inequality, and sliceness of knots},
author = {Alexander N. Shumakovitch},
journal= {arXiv preprint arXiv:math/0411643},
year = {2018}
}
备注
9 pages, 4 tables and 1 figure. Updated to match the published version: Corollary 1.D is made more general to work with links instead of knots, a comment on the relation between the total rank of the reduced Khovanov homology and computations of the Rasmussen invariant is added. Journal reference is added and references are updated