We show that the information contained in the associated graded vector space to Gornik’s version of Khovanov–Rozansky knot homology is equivalent to a single even integer . Furthermore we show that is a homomorphism from the smooth knot concordance group to the integers. This is in analogy with Rasmussen’s invariant coming from a perturbation of Khovanov homology.
"A note on Gornik's perturbation of Khovanov–Rozansky homology." Algebr. Geom. Topol. 12 (1) 293 - 305, 2012. https://doi.org/10.2140/agt.2012.12.293