Proof of the Labastida-Marino-Ooguri-Vafa Conjecture
Quantum Algebra
2009-11-10 v3 High Energy Physics - Theory
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.
Keywords
Cite
@article{arxiv.0704.1526,
title = {Proof of the Labastida-Marino-Ooguri-Vafa Conjecture},
author = {Kefeng Liu and Pan Peng},
journal= {arXiv preprint arXiv:0704.1526},
year = {2009}
}
Comments
57pages, typos corrected, add some details