In the mathematical field of knot theory, the Jones polynomial is a knot polynomial discovered by Vaughan Jones in 1984. Specifically, it is anâ€¦Â (More)

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Highly Cited

2006

Highly Cited

2006

- Dorit Aharonov, Vaughan Jones, Zeph Landau
- Algorithmica
- 2006

The Jones polynomial, discovered in 1984 [18], is an important knot invariant in topology. Among its many connections to variousâ€¦Â (More)

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2006

2006

- Dorit Aharonov, Itai Arad
- ArXiv
- 2006

Following the work by Kitaev, Freedman and Wang [1], Aharonov, Jones and Landau [3] recently gave an explicit and efficientâ€¦Â (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 linkâ€¦Â (More)

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Highly Cited

2004

Highly Cited

2004

- Edward H Witten
- 2004

It is shown that 2 + 1 dimensional quantum Yang-Mills theory, with an action consisting purely of the Chern-Simons term, isâ€¦Â (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 richâ€¦Â (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 theâ€¦Â (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 theâ€¦Â (More)

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Highly Cited

1999

Highly Cited

1999

2 Preliminaries 5 2.1 The ring R . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 5 2â€¦Â (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 andâ€¦Â (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 polynomialâ€¦Â (More)

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