Triple linking numbers and Heegaard Floer homology
Eugene Gorsky, Tye Lidman, Beibei Liu, Allison H. Moore
TL;DR
This paper explores new connections between Milnor invariants and Heegaard Floer homology, providing formulas, detection results, and structural properties related to link invariants and Floer homology.
Contribution
It introduces a formula for Milnor triple linking numbers from the link Floer complex and offers detection results for specific links, advancing the understanding of their relationship.
Findings
Formula for Milnor triple linking number from link Floer complex
Detection of Whitehead link and Borromean rings using Floer homology
Structural properties of d-invariants for surgeries on algebraically split links
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 -invariants of surgeries on certain algebraically split links.
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