ALEXANDER POLYNOMIALS OF ALTERNATING KNOTS OF GENUS TWO II

DOI10.1142/S0218216510008285zbMath1205.57017OpenAlexW2152946926MaRDI QIDQ4930566

In Dae Jong

Publication date: 29 September 2010

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

Full work available at URL: https://doi.org/10.1142/s0218216510008285

zbMATH Keywords

Alexander polynomialalternating knothomogeneous knotpositive knotgenerators of knots of genus two

Mathematics Subject Classification ID

Related Items (7)

Hoste's conjecture and roots of link polynomials ⋮ On the Alexander polynomials of knots with Gordian distance one ⋮ Alexander polynomials of alternating knots of genus two. III ⋮ Algebraic Gordian distance ⋮ On Fox’s trapezoidal conjecture for closed 3-braids ⋮ Gromov hyperbolicity and a variation of the Gordian complex ⋮ On two-bridge knots and a conjecture of Hirasawa–Murasugi

Cites Work

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• On the genus of the alternating knot. I
• On the genus of the alternating knot. II
• On alternation numbers of links
• Upper bound for the alternation number of a torus knot
• Examples on polynomial invariants of knots and links
• Genus of alternating link types
• Heegaard Floer homology and alternating knots
• Über das Geschlecht von Knoten
• An endomorphism of the Khovanov invariant
• Knots of (canonical) genus two
• WHERE THE LINKS–GOULD INVARIANT FIRST FAILS TO DISTINGUISH NONMUTANT PRIME KNOTS
• AN ESTIMATION OF THE ALTERNATION NUMBER OF A TORUS KNOT

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