More concordance homomorphisms from knot Floer homology

By Irving Dai, Jennifer Hom, Matthew Stoffregen, L. Truong. Geometry and Topology, 2019

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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.

Subfields: Computational Theory and Mathematics, Geometry and Topology, Mathematical Physics

View Paper: https://www.semanticscholar.org/paper/bcd13af8abc4185b0b6b1a8c7721798f411b66f4