Jones polynomial invariants for knots and satellites

DOI10.1017/S0305004100069589zbMath0726.57008OpenAlexW2130019797MaRDI QIDQ3350317

Hugh R. Morton, Paul Martin Strickland

Publication date: 1991

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

Full work available at URL: https://doi.org/10.1017/s0305004100069589

zbMATH Keywords

satelliteinvariantsquantum groupsJones polynomialframed linkstanglescompanion

Mathematics Subject Classification ID

Related Items (9)

Turaev-Viro invariants, colored Jones polynomials, and volume ⋮ Universal weight systems and the Melvin-Morton expansion of the colored Jones knot invariant ⋮ Bing doubling and the colored Jones polynomial ⋮ A quantum invariant of links in \(T^2\times I\) with volume conjecture behavior ⋮ The 3-manifold invariants of Witten and Reshetikhin-Turaev for sl\((2,\mathbb{C})\) ⋮ Series of the solutions to Yang-Baxter equations: Hecke type matrices and descendant R-, L-operators ⋮ THE HOMFLY POLYNOMIAL OF THE DECORATED HOPF LINK ⋮ Invariants of 3-manifolds associated with quantum groups and Verlinde's formula ⋮ Braids and invariants of 3-manifolds

Cites Work

• A q-difference analogue of \(U({\mathfrak g})\) and the Yang-Baxter equation
• The Yang-Baxter equation and invariants of links
• Ribbon graphs and their invariants derived from quantum groups
• An operator on regular isotopy invariants of link diagrams
• Free differential calculus. V: The Alexander matrices reexamined
• A polynomial invariant for knots via von Neumann algebras

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