Does the Jones Polynomial Detect Unknottedness?

DOI10.1080/10586458.1997.10504350zbMath0883.57006OpenAlexW2071976538MaRDI QIDQ4366484

Stefan Hougardy, Oliver T. Dasbach

Publication date: 9 March 1998

Published in: Experimental Mathematics (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/225331

zbMATH Keywords

crossing numberprime knotsprime alternating knots

Mathematics Subject Classification ID

Related Items (10)

Analysis of trapped entanglements in polymer networks. ⋮ A NOTE ON THE UTILITY OF KAUFFMAN'S STATE SUMMATION FORMULA FOR THE BRACKET POLYNOMIAL ⋮ DOES THE JONES POLYNOMIAL DETECT THE UNKNOT? ⋮ Verification of the Jones unknot conjecture up to 22 crossings ⋮ Diagram invariants of knots and the Kontsevich integral ⋮ Random knots using Chebyshev billiard table diagrams ⋮ Knot theory in understanding proteins ⋮ Minimal hard surface-unlink and classical unlink diagrams ⋮ ENUMERATING THE PRIME ALTERNATING KNOTS, PART I ⋮ Do link polynomials detect causality in globally hyperbolic spacetimes?

Cites Work

• The classification of alternating links
• Classification of knot projections
• On the Jones polynomial of closed 3-braids
• State models and the Jones polynomial
• Jones polynomials and classical conjectures in knot theory
• Hecke algebra representations of braid groups and link polynomials
• Knot polynomials and generalized mutation
• Some links with non-trivial polynomials and their crossing-numbers
• A polynomial invariant for knots via von Neumann algebras
• A new polynomial invariant of knots and links
• The growth of the number of prime knots
• TABULATING ALTERNATING KNOTS THROUGH 14 CROSSINGS
• On the computational complexity of the Jones and Tutte polynomials
• Polynomials for Links

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