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On top Khovanov homotopy type
by
Marithania Silvero
Universidad del País Vasco
In 2017 we introduced, in a joint work with González-Meneses and Manchón, a simplicial complex whose cohomology equals the extreme Khovanov homology of a given link diagram. Later, in a joint work with Józef Przytycki, we conjectured that its homotopy type, if not contractible, is equivalent to a wedge of spheres.
In this talk we explore the relation between that construction and the Khovanov homotopy type introduced by Lipshitz and Sarkar, showing that both constructions are stably homotopy equivalent at the extreme quantum grading.
This is a joint work with Federico Cantero.
Date received: January 6, 2019
Copyright © 2019 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 # cbpq-43.