Algebraic Gordian distance

DOI10.1142/S021821651950024XzbMath1428.57002arXiv1709.05626OpenAlexW2940832774MaRDI QIDQ5377165

Jie Chen

Publication date: 23 May 2019

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

Full work available at URL: https://arxiv.org/abs/1709.05626

zbMATH Keywords

Alexander polynomialalgebraic unknotting numberGordian distanceSeifert matrixBlanchfield pairing\(S\)-equivalence

Mathematics Subject Classification ID

Knot theory (57K10)

Uses Software

• Knot Atlas
• Knotorious

Cites Work

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• On the Alexander polynomials of knots with Gordian distance one
• Gromov hyperbolicity and a variation of the Gordian complex
• Intersection theory of manifolds with operators with applications to knot theory
• Some metrics on classical knots
• Homology of group systems with applications to knot theory
• Knots of unknotting number 1 and their Alexander polynomials
• Knots with algebraic unknotting number one
• Über das Geschlecht von Knoten
• Die Verschlingungsinvarianten der zyklischen Knotenüberlagerungen
• On algebraic unknotting numbers of knots
• Alexander polynomials of alternating knots of genus two
• On S-equivalence of Seifert matrices
• ALEXANDER POLYNOMIALS OF ALTERNATING KNOTS OF GENUS TWO II
• A calculation of Blanchfield pairings of 3-manifolds and knots