Affordable Access

The Colored Jones Polynomial and the A-Polynomial of Knots

Authors
Type
Preprint
Publication Date
Submission Date
Identifiers
arXiv ID: math/0407521
Source
arXiv
License
Unknown
External links

Abstract

We study relationships between the colored Jones polynomial and the A-polynomial of a knot. We establish for a large class of 2-bridge knots the AJ conjecture (of Garoufalidis) that relates the colored Jones polynomial and the A-polynomial. Along the way we also calculate the Kauffman bracket skein module of all 2-bridge knots. Some properties of the colored Jones polynomial of alternating knots are established.

Statistics

Seen <100 times