WHERE THE LINKS–GOULD INVARIANT FIRST FAILS TO DISTINGUISH NONMUTANT PRIME KNOTS

DOI10.1142/S0218216507005658zbMath1187.57013arXivmath/0501224MaRDI QIDQ3502777

David De Wit, J. R. Links

Publication date: 20 May 2008

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

Full work available at URL: https://arxiv.org/abs/math/0501224

zbMATH Keywords

chiralityquantum link invariantLinks-Gould invariant

Mathematics Subject Classification ID

Related Items (12)

COMPUTATIONS OF HEEGAARD-FLOER KNOT HOMOLOGY ⋮ Colored HOMFLY polynomials of knots presented as double fat diagrams ⋮ Symmetric union presentations for 2-bridge ribbon knots ⋮ THE 2-BRIDGE KNOTS OF UP TO 16 CROSSINGS ⋮ Distinguishing mutant knots ⋮ A skein relation for the HOMFLYPT polynomials of two-cable links ⋮ TABULATING AND DISTINGUISHING MUTANTS ⋮ ALEXANDER POLYNOMIALS OF ALTERNATING KNOTS OF GENUS TWO II ⋮ The Links–Gould Invariant as a Classical Generalization of the Alexander Polynomial? ⋮ Non-mutants with equal colored Jones polynomial ⋮ On Conway mutation and link homology ⋮ On Computing the First Higher-Order Alexander Modules of Knots

Uses Software

• K2K

Cites Work

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• THE 2-BRIDGE KNOTS OF UP TO 16 CROSSINGS
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• An Infinite Suite of Links–Gould Invariants
• Automatic Evaluation of the Links–Gould Invariant for all Prime Knots of up to 10 Crossings
• Algebraic links and skein relations of the Links-Gould invariant
• DISTINGUISHING MUTANTS BY KNOT POLYNOMIALS
• Type-I quantum superalgebras, q-supertrace, and two-variable link polynomials

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