Acta Mathematica Vietnamica

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A Generating Series for Murakami-Ohtsuki-Yamada Graph Evaluations
Stavros Garoufalidis, Roland van der Veen

 

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 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.
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