Geometric realization of the almost-extreme Khovanov homology of semiadequate links

Józef H. Przytycki; Marithania Silvero

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arXiv · 1807.03727

Geometric realization of the almost-extreme Khovanov homology of semiadequate links

Józef H. Przytycki·Marithania Silvero

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Abstract

We introduce the notion of partial presimplicial set and construct its geometric realization. We show that any semiadequate diagram yields a partial presimplicial set leading to a geometric realization of the almost-extreme Khovanov homology of the diagram. We give a concrete formula for the homotopy type of this geometric realization, involving wedge of spheres and a suspension of the projective plane.

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Józef H. Przytycki, Marithania Silvero. 2018-07-10. Geometric realization of the almost-extreme Khovanov homology of semiadequate links. https://arxiv.org/abs/1807.03727

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