环面结的交叉帽数的界
几何拓扑
2007-05-23 v2
摘要
对于环面结 K，我们用亏格 g(K) 与交叉数 n(K) 界定交叉帽数 c(K)：c(K) \leq [(g(K)+9)/6] 且 c(K) \leq [(n(K) + 16)/12]。(6n-2,3) 环面结表明这些界是紧的。
引用
@article{arxiv.math/0409581,
title = {Bounds on the Crosscap Number of Torus Knots},
author = {Thomas W. Mattman and Owen Sizemore},
journal= {arXiv preprint arXiv:math/0409581},
year = {2007}
}
备注
7 Pages, 0 figures Version 2 - corrected a typo: Clark showed c(K) \le 2g(K) + 1