(07001) Proof of the Labastida-Marino-Ooguri-Vafa Conjecture

来源:数学科学研究中心

Abstract

Based on large N Chern-Simons/topological string duality, in a series of papers [37, 21, 19], J.M.F. Labastida, M. Mari˜no, 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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