On a proof of the Labastida-Marino-Ooguri-Vafa conjecture

Kefeng Liu; Pan Peng

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arXiv · 1012.2635

On a proof of the Labastida-Marino-Ooguri-Vafa conjecture

Kefeng Liu·Pan Peng

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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.

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Kefeng Liu, Pan Peng. 2010-12-13. On a proof of the Labastida-Marino-Ooguri-Vafa conjecture. https://arxiv.org/abs/1012.2635

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