In mathematics, the Alexander polynomial is a knot invariant which assigns a polynomial with integer coefficients to each knot type. James Waddell… (More)

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2009

2009

- P. B. Kronheimer, Tomasz S. Mrowka
- 2009

The instanton Floer homology of a knot in S is a vector space with a canonical mod 2 grading. It carries a distinguished… (More)

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2005

2005

In this paper we investigate the Alexander polynomial of (1, 1)knots, which are knots lying in a 3-manifold with genus one at… (More)

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2005

2005

- Akio Noguchi
- 2005

The leading coefficient of the Alexander polynomial of a knot is the most informative element in this invariant, and the growth… (More)

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2004

2004

If φ : G → G is a surjective homomorphism, we prove that the twisted Alexander polynomial of G is divisible by the twisted… (More)

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2004

2004

In this paper, we prove that the twisted Alexander polynomial for the Lawrence-Krammer representation of the braid group B4 is… (More)

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2004

2004

Let l be an oriented link of d components in a homology 3-sphere. For any nonnegative integer q, let l(q) be the link of d−1… (More)

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2002

2002

- David Austin, Dale Rolfsen
- 2002

Any knot in a 3-dimensional homology sphere is homotopic to a knot with trivial Alexander polynomial.

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1999

1999

- H. R. Morton
- 1999

In this paper I give a similar method for finding the multivariable Alexander polynomial of a link L presented as the closure of… (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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1998

1998

Using elementary counting methods, we calculate the universal invariant (also known as the LMO invariant) of a 3-manifold M… (More)

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