  We define a family of link concordance invariants $\left\{ s_n
\right\}_{n=2,3, \cdots}$. These link concordance invariants give lower bounds
on the slice genus of a link $L$. We compute the slice genus of positive links.
Moreover, these invariants give lower bounds on the link splitting number of a
link. Especially, this new lower bound determines the splitting number of
positive torus links. This is a generalization of Lobb's knot concordance
invariants $\left\{ s_n \right\}$, obtained from Gornik's spectral sequence.
