  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.
