%0 Journal Article
%T On a proof of the Labastida-Marino-Ooguri-Vafa conjecture
%A Kefeng Liu
%A Pan Peng
%J Mathematics
%D 2010
%I arXiv
%X We outline a proof of a remarkable conjecture of Labastida-Mari{\~n}o-Ooguri-Vafa about certain new algebraic structures of quantum link invariants and the integrality of infinite family of new topological invariants. Our method is based on the cut-and-join analysis and a special rational ring characterizing the structure of the Chern-Simons partition function.
%U http://arxiv.org/abs/1012.2635v1