THE sl3 JONES POLYNOMIAL OF THE TREFOIL: A CASE STUDY OF q-HOLONOMIC SEQUENCES
نویسندگان
چکیده
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.
منابع مشابه
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