Alexander polynomial

Known as: Skein module, Alexander–Conway polynomial, Skein

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

Papers overview

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2018

This paper contains two topics, the index of a power subgroup in the mapping class group $\mathcal{M}(0,2n)$ of a $2n$-punctured…

2011

We calculate the Kauffman bracket skein module (KBSM) of the comple- ment of all two-bridge links. For a two-bridge link, we show…

2010

We generalize the colored Alexander invariant of knots to an invariant of graphs, and we construct a face model for this…

2009

In 1971, Kunio Murasugi proved a necessary condition on a knot's Alexander polynomial for that knot to be periodic of prime power…

2008

The figure 8 knot K is known as a unique arithmetic knot , i.e., the knot complement S3rK is isometric to a hyperbolic 3-manifold…

2006

Review

2004

Review

2004

We discuss the ribbon-move for 2-knots, which is a local move. Let K and K ′ be 2-knots. Then we have: Suppose that K and K ′ are…

2000

1980

1977