#### Volume 25, issue 1 (2021)

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More concordance homomorphisms from knot Floer homology

### Irving Dai, Jennifer Hom, Matthew Stoffregen and Linh Truong

Geometry & Topology 25 (2021) 275–338
##### 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 $\mathbb{𝔽}\left[U,V\right]∕\left(UV=0\right)$. 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.

##### Keywords
concordance, knots, knot Floer homology
##### Mathematical Subject Classification 2010
Primary: 57M25, 57N70, 57R58