Characterization of Positive Links and the s-invariant for Links

Abe, Tetsuya ; Tagami, Keiji

Canadian journal of mathematics, Tome 69 (2017) no. 6, pp. 1201-1218

Résumé

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

Détail

DOI : 10.4153/CJM-2016-030-7

Mots-clés : 57M25, 57M27, (almost) positive link, homogeneous link, (strongly) quasipositive link, s-invariant

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