The Conway polynomial and amphicheiral knots

DOI10.1142/S0218216517500274zbMath1382.57003arXiv1608.04453OpenAlexW2964276196MaRDI QIDQ5269125

V. Manathunga, James Conant

Publication date: 15 June 2017

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

Full work available at URL: https://arxiv.org/abs/1608.04453

zbMATH Keywords

Alexander polynomialConway polynomialamphicheirality

Mathematics Subject Classification ID

Uses Software

• Mathematica
• KnotTheory
• Knot Atlas
• Knotscape

Cites Work

• Several identities involving the Fibonacci polynomials and Lucas polynomials
• A class of negative-amphicheiral knots and their Alexander polynomials
• Square numbers and polynomial invariants of achiral knots
• Invertible amphicheiral knots
• The invertibility problem on amphicheiral excellent knots
• Polynomials of amphicheiral knots
• Knots and involutions
• The first 1,701,936 knots
• ON A GENERALIZATION OF THE KAWAUCHI CONJECTURE ABOUT THE CONWAY POLYNOMIAL OF ACHIRAL KNOTS
• Braids, Links, and Mapping Class Groups. (AM-82)
• A prime strongly positive amphicheiral knot which is not slice
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