Alexander polynomial

Known as: Skein module, Alexander–Conway polynomial, Alexander invariants 
In mathematics, the Alexander polynomial is a knot invariant which assigns a polynomial with integer coefficients to each knot type. James Waddell… (More)
Wikipedia

Topic mentions per year

Topic mentions per year

1987-2016
020406019872016

Papers overview

Semantic Scholar uses AI to extract papers important to this topic.
2009
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)
  • figure 1
  • figure 2
  • figure 3
  • figure 4
  • figure 5
Is this relevant?
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)
  • figure 1.1
Is this relevant?
2005
2005
The leading coefficient of the Alexander polynomial of a knot is the most informative element in this invariant, and the growth… (More)
Is this relevant?
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)
Is this relevant?
2004
2004
In this paper, we prove that the twisted Alexander polynomial for the Lawrence-Krammer representation of the braid group B4 is… (More)
Is this relevant?
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)
  • figure 1
  • figure 2
  • figure 3
  • figure 4
  • figure 5
Is this relevant?
2002
2002
Any knot in a 3-dimensional homology sphere is homotopic to a knot with trivial Alexander polynomial. 
Is this relevant?
1999
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)
  • figure 1
  • figure 2
Is this relevant?
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)
Is this relevant?
1998
1998
Using elementary counting methods, we calculate the universal invariant (also known as the LMO invariant) of a 3-manifold M… (More)
Is this relevant?