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

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

2010-12-13

arxiv.org/abs/1012.2635v1

Math. Res. Lett., 17(3)493--506, 2010

Mathematics

Geometric Topology

Scientific paper

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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