We use the knot homology of Khovanov and Lee to construct link concordance invariants generalizing the Rasmussen –invariant of knots. The relevant invariant for a link is a filtration on a vector space of dimension . The basic properties of the –invariant all extend to the case of links; in particular, any orientable cobordism between links induces a map between their corresponding vector spaces which is filtered of degree . A corollary of this construction is that any component-preserving orientable cobordism from a –thin link to a link split into components must have genus at least . In particular, no quasi-alternating link is concordant to a split link.
"The link concordance invariant from Lee homology." Algebr. Geom. Topol. 12 (2) 1081 - 1098, 2012. https://doi.org/10.2140/agt.2012.12.1081