Classification of links with Khovanov homology of minimal rank

Yi Xie; Boyu Zhang

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arXiv · 1909.10032

Classification of links with Khovanov homology of minimal rank

Yi Xie·Boyu Zhang

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Abstract

If L is an oriented link with $n$ components, then the rank of its Khovanov homology is at least $2^n$. We classify all the links whose Khovanov homology with Z/2-coefficients achieves this lower bound, and show that such links can be obtained by iterated connected sums and disjoint unions of Hopf links and unknots. This gives a positive answer to a question asked by Batson and Seed.

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BibTeX RIS

Yi Xie, Boyu Zhang. 2021-03-14. Classification of links with Khovanov homology of minimal rank. https://arxiv.org/abs/1909.10032

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