%0 Generic %1 citeulike:217960 %A Garoufalidis, Stavros %A Loebl, Martin %D 2002 %K random walks %T Random walks and the colored Jones function %U http://arxiv.org/abs/math/0203012 %X It can be conjectured that the colored Jones function of a knot can be computed in terms of counting paths on the graph of a planar projection of a knot. On the combinatorial level, the colored Jones function can be replaced by its weight system. We give two curious formulas for the weight system of a colored Jones function: one in terms of the permanent of a matrix associated to a chord diagram, and another in terms of counting paths of intersecting chords.

@misc{citeulike:217960, abstract = {It can be conjectured that the colored Jones function of a knot can be computed in terms of counting paths on the graph of a planar projection of a knot. On the combinatorial level, the colored Jones function can be replaced by its weight system. We give two curious formulas for the weight system of a colored Jones function: one in terms of the permanent of a matrix associated to a chord diagram, and another in terms of counting paths of intersecting chords.}, added-at = {2007-08-18T13:22:24.000+0200}, author = {Garoufalidis, Stavros and Loebl, Martin}, biburl = {https://www.bibsonomy.org/bibtex/2e5753afcc425a66d72218dae0925cc6d/a_olympia}, citeulike-article-id = {217960}, description = {citeulike}, eprint = {math/0203012}, interhash = {3b25fe6cfb7f44a1bfa47e2dca365747}, intrahash = {e5753afcc425a66d72218dae0925cc6d}, keywords = {random walks}, month = {March}, priority = {2}, timestamp = {2007-08-18T13:22:49.000+0200}, title = {Random walks and the colored Jones function}, url = {http://arxiv.org/abs/math/0203012}, year = 2002 }