On the slice genus and some concordance invariants of links

We introduce a new class of links for which we give a lower bound for the slice genus $g_{\ast }$, using the generalized Rasmussen invariant. We show that this bound, in some cases, allows one to compute $g_{\ast }$ exactly; in particular, we compute $g_{\ast }$ for torus links. We also study another link invariant: the strong slice genus $g_{\ast }^{\ast }$. Studying the behaviour of a specific type of cobordisms in Lee homology, a lower bound for $g_{\ast }^{\ast }$ is also given.