Geodesic
Eigenvalue varieties of Brunnian links
Malabre, François1
1Department of Mathematics, University of Barcelona, Gran Vía, 585, 08007 Barcelona, Spain
Algebraic and Geometric Topology, Tome 17 (2017) no. 4, pp. 2039-2050
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In this article, it is proved that the eigenvalue variety of the exterior of a nontrivial, non-Hopf, Brunnian link in S3 contains a nontrivial component of maximal dimension. Eigenvalue varieties were first introduced to generalize the A–polynomial of knots in S3 to manifolds with nonconnected toric boundary. The result presented here generalizes, for Brunnian links, the nontriviality of the A–polynomial of nontrivial knots in S3.

DOI : 10.2140/agt.2017.17.2039
Classification : 57M25, 57M27
Keywords: knot, link, A-polynomial, eigenvalue variety

Malabre, François  1

1 Department of Mathematics, University of Barcelona, Gran Vía, 585, 08007 Barcelona, Spain 
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Malabre, François. Eigenvalue varieties of Brunnian links. Algebraic and Geometric Topology, Tome 17 (2017) no. 4, pp. 2039-2050. doi: 10.2140/agt.2017.17.2039

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