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We characterize positive links in terms of strong quasipositivity, homogeneity, and the value of Rasmussen and Beliakova-Wehrli's $s$ -invariant. We also study almost positive links, and in particular, determine the $s$ -invariants of almost positive links. This result suggests that all almost positive links might be strongly quasipositive. On the other hand, it implies that almost positive links are never homogeneous links.

Characterization of Positive Links and the s-invariant for Links