New structures of knot invariants

descriptionPublicationkeyboard_double_arrow_right Article , Preprint 01 Jan 2011Embargo end date: 01 Dec 2010 English Publisher:International Press of BostonJournal:Communications in Number Theory and Physics, volume 5, pages 601-615 (issn: 1931-4523, eissn: 1931-4531,

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Authors: Liu, Kefeng; Peng, Pan;

doi: 10.4310/cntp.2011.v5.n3.a1 , 10.48550/arxiv.1012.2636

arXiv: 1012.2636

New structures of knot invariants

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Abstract

Based on the proof of Labastida-Mari{ñ}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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University of California, Los Angeles
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University of Arizona
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Keywords

High Energy Physics - Theory, Mathematics - Geometric Topology, High Energy Physics - Theory (hep-th), FOS: Mathematics, FOS: Physical sciences, Geometric Topology (math.GT)

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