状态圈、拟正修正与Khovanov同调中H-厚纽结的构造
几何拓扑
2009-06-09 v2
摘要
我们研究具有状态圈代表元的Khovanov同调类，并考察它们与Jacobsson同态以及Lee映射的相互作用。作为应用，我们描述了一个通用程序——拟正修正，用于在有理Khovanov同调中构造H-厚纽结。此外，我们证明此类纽结的特定族无法被Khovanov的厚度准则检测到。我们还展示了一个由拟正修正关联的素链环序列，其宽度在增加。
引用
@article{arxiv.0901.4039,
title = {State Cycles, Quasipositive Modification, and Constructing H-thick Knots in Khovanov Homology},
author = {Andrew Elliott},
journal= {arXiv preprint arXiv:0901.4039},
year = {2009}
}
备注
42 pages, color figures. Version 2 revisions: an error was corrected in Proposition 4.3, which requires a stronger hypothesis. This slightly widens the classification theorem of section 4, and has led to small revisions throughout. Theorem 4.7, which involved even all-1 state cycles, has been removed, as it has grown into a forthcoming paper