Jones polynomials and classical conjectures in knot theory. II

DOI10.1017/S0305004100067335zbMath0642.57006OpenAlexW2031991375WikidataQ123344637 ScholiaQ123344637MaRDI QIDQ3784863

Kunio Murasugi

Publication date: 1987

Published in: Mathematical Proceedings of the Cambridge Philosophical Society (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1017/s0305004100067335

zbMATH Keywords

invariance of writhemaximum and minimum degree of Jones polynomialsignature of an alternating linkTait's conjecturewrithe of a reduced alternating diagram

Mathematics Subject Classification ID

Related Items (28)

Prime component-preservingly amphicheiral link with odd minimal crossing number ⋮ ON THE NULLIFICATION WRITHE, THE SIGNATURE AND THE CHIRALITY OF ALTERNATING LINKS ⋮ Knot Theory ⋮ From Conway Notation to LinKnot ⋮ Knots and Graphs: Two Centuries of Interaction ⋮ SOME INEQUALITIES BETWEEN KNOT INVARIANTS ⋮ On Invariants of Graphs with Applications to Knot Theory ⋮ Knotted fields and explicit fibrations for lemniscate knots ⋮ Epimorphisms between 2-bridge knot groups and their crossing numbers ⋮ Specification of chirality for links and knots ⋮ A natural framing of knots ⋮ Tait’s conjectures and odd crossing number amphicheiral knots ⋮ Topological quantum computation is hyperbolic ⋮ A note on knot fertility. II ⋮ \( \mathcal{Z} \)-compactifiable manifolds which are not pseudocollarable ⋮ The Tait conjecture in #g(S1 × S2) ⋮ UNLINKING NUMBER AND UNLINKING GAP ⋮ Topological chirality of a type of DNA and protein polyhedral links ⋮ On the Braid Index of Alternating Links ⋮ ON JONES POLYNOMIALS OF ALTERNATING PRETZEL KNOTS ⋮ Plane graphs and link invariants ⋮ Span of the Jones polynomial of an alternating virtual link ⋮ On adequate links and homogeneous links ⋮ Jones Polynomials of Alternating Links ⋮ Alternation numbers of torus knots with small braid index ⋮ On chirality of toroidal embeddings of polyhedral graphs ⋮ A proof of the Kauffman-Harary conjecture ⋮ The first 1,701,936 knots

Cites Work

• On the signature of a link
• A polynomial invariant for knots via von Neumann algebras
• Jones Polynomials of Alternating Links
• On a Certain Numerical Invariant of Link Types

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