A refined Jones polynomial for symmetric unions

zbMath1246.57010arXiv0802.2283MaRDI QIDQ661389

Michael Eisermann, Christoph Lamm

Publication date: 10 February 2012

Published in: Osaka Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/0802.2283

zbMATH Keywords

Reidemeister movesribbon knotsymmetric union of knotstwo-variable refinement of the Jones polynomial

Mathematics Subject Classification ID

Related Items (8)

On symmetric equivalence of symmetric union diagrams ⋮ Symmetric union presentations for 2-bridge ribbon knots ⋮ Ribbon knots with different symmetric union presentations ⋮ Virtual covers of links II ⋮ The Search for Nonsymmetric Ribbon Knots ⋮ The Jones polynomial of ribbon links ⋮ On equivalence of symmetric union presentations for ribbon knots ⋮ Symmetric Union Diagrams and Refined Spin Models

Cites Work

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• The Jones polynomial of ribbon links
• Examples on polynomial invariants of knots and links
• Some evaluations of link polynomials
• A spanning tree expansion of the Jones polynomial
• State models and the Jones polynomial
• Jones polynomials and classical conjectures in knot theory
• A simple proof of the Murasugi and Kauffman theorems on alternating links
• Symmetric unions and ribbon knots
• Singularities of 2-spheres in 4-space and cobordism of knots
• EQUIVALENCE OF SYMMETRIC UNION DIAGRAMS

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