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Semiadequate links and second to extreme Khovanov homology.
by
Marithania Silvero
Institute of Mathematics of the Polish Academy of Sciences
Coauthors: Józef H. Przytycki
Given a semiadequate diagram D representing a link L, we present an algorithm for constructing a presimplicial set such that its geometric realization is homotopy equivalent to the almost-extreme Khovanov complex of L. Moreover, we determine the homotopy type of the presimplicial set obtained when the link is strongly A-adequate. We show explicitly the particular cases of trefoil and figure-8 knots.
Date received: November 19, 2017
Copyright © 2017 by the author(s). The author(s) of this work and the organizers of the conference have granted their consent to include this abstract in Topology Atlas. Document # cboj-12.