On the cable expansion formula

2008/10/09 by Liu Qihou, Liu, Qihou
Mathematics · Engineering · Computer Science · #Geometric and Algebraic Topology #Advanced Numerical Analysis Techniques #semigroups and automata theory

paper · pdf · doi:10.48550/arxiv.0810.1697

Abstract

In this paper, a generalized version of Morton's formula is proved. Using this formula, one can write down the colored Jones polynomials of cabling of an knot in terms of the colored Jones polynomials of the original knot.

Related

• Knot Cabling and the Degree of the Colored Jones Polynomial II
• A cabling formula for the colored Jones polynomial
• The colored Jones polynomial of a cable of the figure-eight knot
• Cancellations in the degree of the colored Jones polynomial
• Mutation and the colored Jones polynomial