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Eigenvalue varieties of
Brunnian links
François Malabre |
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Algebraic & Geometric Topology 17 (2017) 2039–2050
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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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References |
Publication
Received: 11 December 2015
Revised: 29 November 2016
Accepted: 13 December 2016
Published: 3 August 2017
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Authors |
| François Malabre | |
| Department of Mathematics University of Barcelona Gran Vía, 585 08007 Barcelona Spain |
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