Proof of the Labastida-Marino-Ooguri-Vafa Conjecture

Details Proof of the Labastida-Marino-Ooguri-Vafa Conjecture Proof of the Labastida-Marino-Ooguri-Vafa Conjecture

2007-04-12

arxiv.org/abs/0704.1526v3

Mathematics

Quantum Algebra

57pages, typos corrected, add some details

Scientific paper

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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