Jones polynomial

Known as: Jones function, Jones' polynomials 
In the mathematical field of knot theory, the Jones polynomial is a knot polynomial discovered by Vaughan Jones in 1984. Specifically, it is an… (More)
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Topic mentions per year

Topic mentions per year

1985-2018
020406019852018

Papers overview

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Highly Cited
2006
Highly Cited
2006
The Jones polynomial, discovered in 1984 [18], is an important knot invariant in topology. Among its many connections to various… (More)
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2006
2006
Following the work by Kitaev, Freedman and Wang [1], Aharonov, Jones and Landau [3] recently gave an explicit and efficient… (More)
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2005
2005
A link is a finite family of disjoint, smooth, oriented or unoriented, closed curves in R or equivalently S. A knot is a link… (More)
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Highly Cited
2004
Highly Cited
2004
It is shown that 2 + 1 dimensional quantum Yang-Mills theory, with an action consisting purely of the Chern-Simons term, is… (More)
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Highly Cited
2002
Highly Cited
2002
The working mathematician fears complicated words but loves pictures and diagrams. We thus give a no-fancy-anything picture rich… (More)
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2002
2002
This paper is an exploration of relationships between the Jones polynomial and quantum computing. We discuss the structure of the… (More)
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Highly Cited
2000
Highly Cited
2000
IN THIS PAPER I construct a state model for the (original) Jones polynomial [5]. (In [6] a state model was constructed for the… (More)
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Highly Cited
1999
Highly Cited
1999
2 Preliminaries 5 2.1 The ring R . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 5 2… (More)
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Highly Cited
1999
Highly Cited
1999
We show that the set of colored Jones polynomials and the set of generalized Alexander polynomials defined by Akutsu, Deguchi and… (More)
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Highly Cited
1986
Highly Cited
1986
  • MOREN B. THISTLETHWAITE
  • 1986
A KEW combinatorial formulation of the Jones polynomial of a link is used to establish some basic properties of this polynomial… (More)
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