Triple linking numbers and Heegaard Floer homology

Allison H. Moore; Beibei Liu; Eugene Gorsky; Tye Lidman

Triple linking numbers and Heegaard Floer homology

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arxiv 2006.15484 v1 pith:PRCM2WC4 submitted 2020-06-28 math.GT

Eugene Gorsky , Tye Lidman , Beibei Liu , Allison H. Moore This is my paper · ORCID

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keywords floerheegaardhomologyinvariantslinklinkingmilnortriple

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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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Fractional Dehn twist coefficients and rank bounds for categorified link invariants
math.GT 2026-08 conditional novelty 7.0 of 10

Fibered links whose monodromy twists many times around a boundary component have large next-to-top link Floer homology, and braid closures with large fractional Dehn twist coefficient have large annular Khovanov homology.

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