@

author = {Stavros Garoufalidis and Christoph Koutschan},}

title = {{The sl3 Jones polynomial of the trefoil: a case study of q-holonomic recursions}},

language = {english},

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.},

journal = {Advances in Applied Mathematics},

volume = {47},

number = {4},

pages = {829--839},

isbn_issn = {ISSN 0196-8858},

year = {2011},

refereed = {yes},

length = {11}