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Mathematics 2010
New Structure of Knot InvariantsAbstract: 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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