For satellites whose pattern link is a 2-component L-space link, the full knot Floer complex is computed from the companion's complex and the pattern's Alexander polynomials.
More concordance homomorphisms from knot Floer homology
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abstract
We define an infinite family of linearly independent, integer-valued smooth concordance homomorphisms. Our homomorphisms are explicitly computable and rely on local equivalence classes of knot Floer complexes over the ring $\mathbb{F}[U, V]/(UV=0)$. We compare our invariants to other concordance homomorphisms coming from knot Floer homology, and discuss applications to topologically slice knots, concordance genus, and concordance unknotting number.
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2024 1verdicts
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L-space satellite operators and knot Floer homology
For satellites whose pattern link is a 2-component L-space link, the full knot Floer complex is computed from the companion's complex and the pattern's Alexander polynomials.