Eigenvalue varieties of Brunnian links

Abstract

In this article, it is proved that the eigenvalue variety of the exterior of a nontrivial, non-Hopf, Brunnian link in ${\mathbb{S}}^3$ contains a nontrivial component of maximal dimension. This generalises, for Brunnian links, the nontriviality of the $A$-polynomial of a nontrivial knot in ${\mathbb{S}}^3$.

References in corpus (1)

• Non-triviality of the A-polynomial for knots in S^3