关于 Khovanov A-adequacy 概念
几何拓扑
2025-02-26 v1
摘要
The concept of adequate links, introduced by Lickorish and Thistlethwaite as a generalization of alternating links, has recently gained interest among knot theorists in the context of Khovanov homology. Przytycki and Silvero introduced the more general concept of Khovanov adequacy: a diagram is Khovanov-adequate if its associated Khovanov chain complexes at both potential maximal and minimal quantum gradings have non-trivial homology. This article explores Khovanov adequacy within the framework of independence complexes and the calculation of the homotopy type of extreme Khovanov spectra.
引用
@article{arxiv.2502.17637,
title = {On the notion of Khovanov A-adequacy},
author = {Lizzie Buchanan and Huizheng Guo and Gabriel Montoya-Vega and Yongwu Rong and Marithania Silvero},
journal= {arXiv preprint arXiv:2502.17637},
year = {2025}
}
备注
12 pages, 11 figures