Abstract: Given a link diagram, we construct a graph in such a way that the cohomology of its independence simplicial complex equals the extreme Khovanov homology of the link. As stressed by M. Khovanov, this is the first known relation between the cohomology of independence complexes and Khovanov homology.
Researchers: J. González-Meneses, Marithania Silvero, P.M. G. Manchón
Related project: MTM2010-19355, MTM2013-44233-P, P09-FQM-5112
iMAT research line: ⊕ RL11. Algebra, Geometry and Topology
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