English

Khovanov homology detects the Hopf links

Geometric Topology 2019-12-02 v1

Abstract

We prove that any link in S3S^3 whose Khovanov homology is the same as that of a Hopf link must be isotopic to that Hopf link. This holds for both reduced and unreduced Khovanov homology, and with coefficients in either Z\mathbb{Z} or Z/2Z\mathbb{Z}/2\mathbb{Z}.

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Cite

@article{arxiv.1810.05040,
  title  = {Khovanov homology detects the Hopf links},
  author = {John A. Baldwin and Steven Sivek and Yi Xie},
  journal= {arXiv preprint arXiv:1810.05040},
  year   = {2019}
}

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6 pages