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Infinitely many prime knots with the same Alexander invariants

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Publication:5357452
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DOI10.1142/S021821651743009XzbMath1373.57032arXiv1604.02510MaRDI QIDQ5357452

Pedro Lopes, Louis H. Kauffman

Publication date: 8 September 2017

Published in: Journal of Knot Theory and Its Ramifications (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1604.02510


zbMATH Keywords

knotsAlexander polynomialprime knotsJones polynomialSeifert matrixAlexander invariantselementary ideals


Mathematics Subject Classification ID


Related Items

Knots having the same Seifert form and primary decomposition of knot concordance



Cites Work

  • On the commutator subgroup of a knot group
  • Realizing Alexander polynomials by hyperbolic links
  • Homology cobordisms of 3-manifolds, knot concordances, and prime knots
  • Infinitely many fibred knots having the same Alexander polynomial
  • The Jones polynomial of pretzel knots and links
  • Über das Geschlecht von Knoten
  • Seifert forms and concordance
  • Some invariants of Pretzel links
  • On Certain Fibred Ribbon Disc Pairs
  • REALIZATIONS OF SEIFERT MATRICES BY HYPERBOLIC KNOTS
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