Baskets and fibred links realizing $A_n$

Abstract

We prove that basket links, whose symmetrized Seifert form is congruent to the Cartan matrix of the simply laced Dynkin diagram $A_n$, are isotopic to the torus link $T(2,n+1)$. In addition, we provide examples of links, constructed by plumbing $n$ positive Hopf bands the core curves of which intersect at most once, with symmetrized Seifert form congruent to the Cartan matrix $A_n$, that are not isotopic to $T(2,n+1)$.

References in corpus (3)

• A note on the concordance of fibered knots
• On families of fibred knots with equal Seifert forms
• Checkerboard graph links and simply laced Dynkin diagrams

Cited by in corpus (1)

• Bouquets of curves in surfaces