Triple linking numbers and Heegaard Floer homology
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Triple linking numbers and Heegaard Floer homology

  • Author(s): Gorsky, Eugene;
  • Lidman, Tye;
  • Liu, Beibei;
  • Moore, Allison H
  • et al.
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 $d$-invariants of surgeries on certain algebraically split links.

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