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Abstract
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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
contains a nontrivial component of maximal dimension.
Eigenvalue varieties were first introduced to generalize the
–polynomial
of knots in
to manifolds with nonconnected toric boundary. The result presented
here generalizes, for Brunnian links, the nontriviality of the
–polynomial of
nontrivial knots in
.
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Keywords
knot, link, A-polynomial, eigenvalue variety
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Mathematical Subject Classification 2010
Primary: 57M25
Secondary: 57M27
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Publication
Received: 11 December 2015
Revised: 29 November 2016
Accepted: 13 December 2016
Published: 3 August 2017
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