English

Triple linking numbers and Heegaard Floer homology

Geometric Topology 2020-06-30 v1

Abstract

We establish some new relationships between Milnor invariants and Heegaard Floer homology. This includes a formula for the Milnor triple linking number from the link Floer complex, detection results for the Whitehead link and Borromean rings, and a structural property of the dd-invariants of surgeries on certain algebraically split links.

Keywords

Cite

@article{arxiv.2006.15484,
  title  = {Triple linking numbers and Heegaard Floer homology},
  author = {Eugene Gorsky and Tye Lidman and Beibei Liu and Allison H. Moore},
  journal= {arXiv preprint arXiv:2006.15484},
  year   = {2020}
}

Comments

41 pages. Comments welcome!