On the Alexander polynomials of knots with Gordian distance one

DOI10.1016/J.TOPOL.2011.11.017zbMath1250.57013OpenAlexW2054101026MaRDI QIDQ409545

Akio Kawauchi

Publication date: 13 April 2012

Published in: Topology and its Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.topol.2011.11.017

zbMATH Keywords

Alexander polynomialGordian distancecrossing changedeterminant ringresidue module

Mathematics Subject Classification ID

Related Items (6)

Differences of Alexander polynomials for knots caused by a single crossing change ⋮ Differences of Alexander polynomials for knots caused by a single crossing change, II ⋮ A two-variable polynomial invariant of virtual knots ⋮ A tabulation of ribbon knots in tangle form ⋮ Algebraic Gordian distance ⋮ Gromov hyperbolicity and a variation of the Gordian complex

Cites Work

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• Gromov hyperbolicity and a variation of the Gordian complex
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• Knots of unknotting number 1 and their Alexander polynomials
• Alexander polynomials of alternating knots of genus two
• Knot Modules. I
• THE GORDIAN COMPLEX OF KNOTS
• A NOTE ON UNKNOTTING NUMBER, II
• ALEXANDER POLYNOMIALS OF ALTERNATING KNOTS OF GENUS TWO II
• Alexander Polynomials of Knots Which Are Transformed into the Trefoil Knot by a Single Crossing Change

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