Geodesic
Characterization of Positive Links and the s-invariant for Links
Canadian journal of mathematics, Tome 69 (2017) no. 6, pp. 1201-1218

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DOI

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.
DOI : 10.4153/CJM-2016-030-7
Mots-clés : 57M25, 57M27, (almost) positive link, homogeneous link, (strongly) quasipositive link, s-invariant 
Abe, Tetsuya; Tagami, Keiji. Characterization of Positive Links and the s-invariant for Links. Canadian journal of mathematics, Tome 69 (2017) no. 6, pp. 1201-1218. doi: 10.4153/CJM-2016-030-7
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     author = {Abe, Tetsuya and Tagami, Keiji},
     title = {Characterization of {Positive} {Links} and the s-invariant for {Links}},
     journal = {Canadian journal of mathematics},
     pages = {1201--1218},
     year = {2017},
     volume = {69},
     number = {6},
     doi = {10.4153/CJM-2016-030-7},
     url = {http://geodesic.mathdoc.fr/articles/10.4153/CJM-2016-030-7/}
}
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