Christoph Koutschan, Stavros Garoufalidis,
"The SL3 Jones polynomial of the trefoil: a case study of q-holonomic recursions"
, Nummer 1011.6329, ArXiv, www.arxiv.org, 1-2010
Original Titel:
The SL3 Jones polynomial of the trefoil: a case study of q-holonomic recursions
Sprache des Titels:
Englisch
Original Kurzfassung:
The SL_3 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.
Forschungs-