A geometric description of the extreme Khovanov cohomology

Author:

González-Meneses J.,Manchón P. M. G.,Silvero M.

Abstract

We prove that the potential extreme Khovanov cohomology of a link is the cohomology of the independence simplicial complex of its Lando graph. We also provide a family of knots having as many non-trivial extreme Khovanov cohomology modules as desired, that is, examples of H-thick knots that are as far from being H-thin as desired.

Publisher

Cambridge University Press (CUP)

Subject

General Mathematics

Cited by 9 articles. 订阅此论文施引文献 订阅此论文施引文献,注册后可以免费订阅5篇论文的施引文献,订阅后可以查看论文全部施引文献

1. Khovanov homology, wedges of spheres and complexity;Revista de la Real Academia de Ciencias Exactas, Físicas y Naturales. Serie A. Matemáticas;2024-05-02

2. Near extremal Khovanov homology of Turaev genus one links;Topology and its Applications;2024-04

3. Annular Khovanov homology and meridional disks;Journal of Knot Theory and Its Ramifications;2023-02

4. Extremal Khovanov homology and the girth of a knot;Journal of Knot Theory and Its Ramifications;2022-10-31

5. Almost-extreme Khovanov spectra;Selecta Mathematica;2021-09-29

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