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A geometric description of the extreme Khovanov cohomology

  • J. González-Meneses (a1), P. M. G. Manchón (a2) and M. Silvero (a3)

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.

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