We characterise positive braid links with positive Seifert form via a finite number of forbidden minors. From this we deduce a one-to-one correspondence between prime positive braid links of maximal signature and simply laced Dynkin diagrams, as well as a simple classification of alternating positive braid knots.
Cite this article
Sebastian Baader, Positive braids of maximal signature. Enseign. Math. 59 (2013), no. 3/4, pp. 351–358DOI 10.4171/LEM/59-3-8