Reidemeister torsion, twisted Alexander polynomial and fibered knots

By H. Goda, Teruaki Kitano, Takayuki Morifuji. 2003

65 citations recorded by the source corpus.

As a generalization of a classical result on the Alexander polynomial for fibered knots, we show in this paper that the Reidemeister torsion associated to a certain representation detects fiberedness of knots in the three sphere.

Subfields: Geometry and Topology, Oncology, Organic Chemistry

View Paper: https://www.semanticscholar.org/paper/0bcb1929e38d7a469c0a4d3a48870bbfd59fc7a9

How researchers see this paper

The researchers whose trusted networks rank it highest, strongest advocate first. Every researcher gets a different order.

In Geometry and Topology

1. Charles Livingston
2. Christopher Herald
3. Paul A. Kirk
4. Jennifer Hom
5. Tim D. Cochran
6. P. Teichner
7. Greg Friedman

Citations in the corpus

• Metabelian representations, twisted Alexander polynomials, knot slicing, and mutation (2008, background): “The theory and application of twisted knot polynomials has been considered by many authors; a few papers include [3,10,12,14,15,17,25,26,37].”