LINKS WITH TRIVIAL JONES POLYNOMIAL

DOI10.1142/S0218216501001050zbMath1001.57022WikidataQ56456440 ScholiaQ56456440MaRDI QIDQ4541033

Morwen B. Thistlethwaite

Publication date: 30 July 2002

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

Mathematics Subject Classification ID

Related Items (21)

Knot Theory ⋮ Khovanov module and the detection of unlinks ⋮ Singular surfaces, mod 2 homology, and hyperbolic volume. II. ⋮ Categorical lifting of the Jones polynomial: a survey ⋮ A remarkable 20-crossing tangle ⋮ On the modular Jones polynomial ⋮ NONALTERNATING KNOTS AND JONES POLYNOMIALS ⋮ Topological quantum information, virtual Jones polynomials and Khovanov homology ⋮ Verification of the Jones unknot conjecture up to 22 crossings ⋮ INTRODUCTION TO VIRTUAL KNOT THEORY ⋮ Manifolds with small Heegaard Floer ranks ⋮ On the origin and development of subfactors and quantum topology ⋮ New skein invariants of links ⋮ Minimal hard surface-unlink and classical unlink diagrams ⋮ A new two-variable generalization of the Jones polynomial ⋮ The Unknotting Problem ⋮ AN EXTENDED BRACKET POLYNOMIAL FOR VIRTUAL KNOTS AND LINKS ⋮ EXAMPLES OF KNOTS WITH THE SAME POLYNOMIALS ⋮ ANY TANGLE EXTENDS TO NON-MUTANT KNOTS WITH THE SAME JONES POLYNOMIAL ⋮ Skein invariants of links and their state sum models ⋮ A link-splitting spectral sequence in Khovanov homology

Cites Work

• A polynomial invariant for unoriented knots and links
• Some links with non-trivial polynomials and their crossing-numbers

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