English

Eigenvalue varieties of Brunnian links

Geometric Topology 2018-03-16 v2

Abstract

In this article, it is proved that the eigenvalue variety of the exterior of a nontrivial, non-Hopf, Brunnian link in S3\mathbb{S}^{3} contains a nontrivial component of maximal dimension. This generalises, for Brunnian links, the nontriviality of the AA-polynomial of a nontrivial knot in S3\mathbb{S}^{3}.

Keywords

Cite

@article{arxiv.1512.03296,
  title  = {Eigenvalue varieties of Brunnian links},
  author = {François Malabre},
  journal= {arXiv preprint arXiv:1512.03296},
  year   = {2018}
}