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lando graph

Proceedings of the Royal Society of Edinburgh Section A: Mathematics (1)

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A geometric description of the extreme Khovanov cohomology
Part of
- Low-dimensional topology
J. González-Meneses, P. M. G. Manchón, M. Silvero
Journal:

Proceedings of the Royal Society of Edinburgh. Section A: Mathematics / Volume 148 / Issue 3 / June 2018

Published online by Cambridge University Press:

28 December 2017, pp. 541-557

Print publication:

June 2018
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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.