Stavros Garoufalidis, Christoph Koutschan,
"The sl3 Jones polynomial of the trefoil: a case study of q-holonomic recursions"
, in Advances in Applied Mathematics, Vol. 47, Nummer 4, Seite(n) 829-839, 2011, ISSN: 0196-8858
The sl3 Jones polynomial of the trefoil: a case study of q-holonomic recursions
Sprache des Titels:
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.