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Classification of links with Khovanov homology of minimal rank

  • Yi Xie

    Beijing International Center for Mathematical Research, Peking University, Beijing 100871, P.R. China

  • Boyu Zhang

    Department of Mathematics,University of Maryland at College Park,College Park, MD 20742, USA
Classification of links with Khovanov homology of minimal rank cover

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Abstract

If is an oriented link with components, then the rank of its Khovanov homology is at least . We classify all links that achieve 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 (2015).

Cite this article

Yi Xie, Boyu Zhang, Classification of links with Khovanov homology of minimal rank. J. Eur. Math. Soc. (2023), published online first

DOI 10.4171/JEMS/1380