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arXiv · 1512.03296

Eigenvalue varieties of Brunnian links

François Malabre
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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 $\mathbb{S}^{3}$.

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François Malabre. 2017-02-21. Eigenvalue varieties of Brunnian links. https://doi.org/10.2140/agt.2017.17.2039

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