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Knot Floer homology of positive braids

Geometric Topology 2025-04-18 v1

Abstract

We compute the next-to-top term of knot Floer homology for positive braid links. The rank is 1 for any prime positive braid knot. We give some examples of fibered positive links that are not positive braids.

Keywords

Cite

@article{arxiv.2504.13005,
  title  = {Knot Floer homology of positive braids},
  author = {Zhechi Cheng},
  journal= {arXiv preprint arXiv:2504.13005},
  year   = {2025}
}

Comments

12 pages, 6 figures