A generating series for Murakami-Ohtsuki-Yamada graph evaluations

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.

12 pages, 3 figures

References in corpus (4)

• Large N Duality, Mirror Symmetry, and a Q-deformed A-polynomial for Knots
• Lectures on Knot Homology and Quantum Curves
• The colored HOMFLY polynomial is q-holonomic
• The 3D index of an ideal triangulation and angle structures