On geometric realizations of the extreme Khovanov homology of pretzel links

Jinseok Oh; Mark H. Siggers; Seung Yeop Yang; Hongdae Yun

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arXiv · 2401.06487

On geometric realizations of the extreme Khovanov homology of pretzel links

Jinseok Oh·Mark H. Siggers·Seung Yeop Yang·Hongdae Yun

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Abstract

Gonz\'alez-Meneses, Manch\'on, and Silvero showed that the (hypothetical) extreme Khovanov homology of a link diagram is isomorphic to the reduced (co)homology of the independence simplicial complex of its Lando graph. Przytycki and Silvero conjectured that the extreme Khovanov homology of any link diagram is torsion-free. In this paper, we investigate explicit geometric realizations of the real-extreme Khovanov homology of pretzel links. This gives further support for the conjecture.

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Jinseok Oh, Mark H. Siggers, Seung Yeop Yang, Hongdae Yun. 2024-01-12. On geometric realizations of the extreme Khovanov homology of pretzel links. https://arxiv.org/abs/2401.06487

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