Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
6419773 | Advances in Applied Mathematics | 2011 | 11 Pages |
Abstract
The sl3 colored Jones polynomial of the trefoil knot is a q-holonomic sequence of two variables with natural origin, namely quantum topology. The paper presents an explicit set of generators for the annihilator ideal of this q-holonomic sequence as a case study. On the one hand, our results are new and useful to quantum topology: this is the first example of a rank 2 Lie algebra computation concerning the colored Jones polynomial of a knot. On the other hand, this work illustrates the applicability and computational power of the employed computer algebra methods.
Related Topics
Physical Sciences and Engineering
Mathematics
Applied Mathematics
Authors
Stavros Garoufalidis, Christoph Koutschan,