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arXiv · 0704.1526

Proof of the Labastida-Marino-Ooguri-Vafa Conjecture

Kefeng Liu·Pan Peng
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Abstract

Based on large N Chern-Simons/topological string duality, in a series of papers, J.M.F. Labastida, M. Marino, H. Ooguri and C. Vafa conjectured certain remarkable new algebraic structure of link invariants and the existence of infinite series of new integer invariants. In this paper, we provide a proof of this conjecture. Moreover, we also show these new integer invariants vanish at large genera.

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Kefeng Liu, Pan Peng. 2009-11-10. Proof of the Labastida-Marino-Ooguri-Vafa Conjecture. https://arxiv.org/abs/0704.1526

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