On knot polynomials of annular surfaces and their boundary links

DOI10.1017/S0305004109002370zbMath1170.57010arXivmath/0406106OpenAlexW3099194106MaRDI QIDQ3636903

Hermann Gruber

Publication date: 30 June 2009

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

Full work available at URL: https://arxiv.org/abs/math/0406106

zbMATH Keywords

Kauffman polynomialWhitehead doubleskein polynomialRudolph polynomial

Mathematics Subject Classification ID

Related Items (3)

Crossing number of an alternating knot and canonical genus of its Whitehead double ⋮ Local move of alternating knot preserving canonical genus of its Whitehead double ⋮ The canonical genus for Whitehead doubles of a family of alternating knots

Cites Work

• A polynomial invariant of oriented links
• Kauffman's polynomial and alternating links
• Examples relating to the crossing number, writhe, and maximal bridge length of knot diagrams
• An operator on regular isotopy invariants of link diagrams
• A congruence between link polynomials
• A polynomial invariant for knots via von Neumann algebras
• A new polynomial invariant of knots and links
• Seifert circles and knot polynomials
• Conway Algebras and Skein Equivalence of Links
• On the Degree of the Brandt-Lickorish-Millett-Ho Polynomial of a Link
• Embedding knots and links in an open book III. On the braid index of satellite links
• Algebraic Graph Theory
• ARC Index and the Kauffman Polynomial
• THE CANONICAL GENUS OF WHITEHEAD DOUBLES OF A FAMILY TORUS KNOTS
• An Invariant of Regular Isotopy
• Polynomials for Links

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