On a proof of the Labastida-Marino-Ooguri-Vafa conjecture
Geometric Topology
2010-12-14 v1 High Energy Physics - Theory
Abstract
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.
Keywords
Cite
@article{arxiv.1012.2635,
title = {On a proof of the Labastida-Marino-Ooguri-Vafa conjecture},
author = {Kefeng Liu and Pan Peng},
journal= {arXiv preprint arXiv:1012.2635},
year = {2010}
}