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A geometric description of the extreme Khovanov cohomology


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Opened Access A geometric description of the extreme Khovanov cohomology

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Author: González-Meneses López, Juan
González Manchón, Pedro María
Silvero Casanova, Marithania
Department: Universidad de Sevilla. Departamento de álgebra
Date: 2018-06
Published in: Proceedings of the Royal Society of Edinburgh: Section A Mathematics, 148 (3), 541-557.
Document type: Article
Abstract: We prove that the hypothetical 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 which are as far of being H-thin as desired.
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DOI: 10.1017/S0308210517000300

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