A geometric description of the extreme Khovanov cohomology

A geometric description of the extreme Khovanov cohomology

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 f...

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Veröffentlicht in:Proceedings of the Royal Society of Edinburgh. Section A. Mathematics 2018-06, Vol.148 (3), p.541-557
Hauptverfasser: González-Meneses, J., Manchón, P. M. G., Silvero, M.
Format: Artikel
Sprache:eng
Schlagworte:
Knots
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Zusammenfassung: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.
ISSN:0308-2105
1473-7124
DOI:10.1017/S0308210517000300