A generating series for Murakami-Ohtsuki-Yamada graph evaluations
Geometric Topology
2014-03-12 v2
Abstract
Murakami-Ohtsuki-Yamada introduced an evaluation of certain oriented planar trivalent graphs with colored edges. This evaluation plays a key role in the evaluation of the colored HOMFLY polynomial of a link in 3-space and its Khovanov-Rozansky categorification. Our goal is is to give a generating series formula for the evaluation of MOY graphs, which may be useful in categorification, and in the study of q-holonomicity of the colored HOMFLY polynomial.
Cite
@article{arxiv.1312.2117,
title = {A generating series for Murakami-Ohtsuki-Yamada graph evaluations},
author = {Stavros Garoufalidis and Roland van der Veen},
journal= {arXiv preprint arXiv:1312.2117},
year = {2014}
}
Comments
12 pages, 3 figures