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Mathematics  2010 

New Structure of Knot Invariants

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Abstract:

Based on the proof of Labastida-Mari{\~n}o-Ooguri-Vafa conjecture \cite{lmov}, we derive an infinite product formula for Chern-Simons partition functions, the generating function of quantum $\fsl_N$ invariants. Some symmetry properties of the infinite product will also be discussed.

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