Infinite families of links with trivial Jones polynomial

By Shalom Eliahou, Louis H. Kauffman, Morwen Thistlethwaite. 2003

91 citations recorded by the source corpus.

Subfields: Discrete Mathematics and Combinatorics, Geometry and Topology, Mathematical Physics

View Paper: https://www.semanticscholar.org/paper/c30bbce786b47004c7205c2a653bf9f733958b66

How researchers see this paper

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In Discrete Mathematics and Combinatorics

1. Jacob Rasmussen
2. Yi Ni
3. Tomotada Ohtsuki
4. G. Massuyeau
5. Simon Willerton
6. M. Hedden
7. J. Scott Carter
8. Nathan M. Dunfield

In Geometry and Topology

1. Jacob Rasmussen
2. M. Hedden
3. Peter S. Ozsv'ath
4. L. Rozansky
5. Zolt'an Szab'o
6. G. Massuyeau
7. Yi Ni
8. Stavros Garoufalidis

In Mathematical Physics

1. Jacob Rasmussen
2. M. Hedden
3. L. Rozansky
4. Yi Ni
5. Stavros Garoufalidis
6. Peter S. Ozsv'ath
7. Tomotada Ohtsuki
8. Toshie Takata

Citations in the corpus

• Problems on invariants of knots and 3-manifolds (2004, background): “Remark Some links with the Jones polynomial equal to that of the corresponding trivial links are given in [115].”
• A link-splitting spectral sequence in Khovanov homology (2013, background): “In contrast, there are infinite families of links with the same Jones polynomial as the unlink [7, 28].”
• Khovanov module and the detection of unlinks (2012, background): “Interest in this question is heightened by the existence of infinite families of links which have the same Jones polynomial as unlinks with two or more components [4, 43].”