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

• Autores: Kefeng Liu, Pan Peng
• Localización: Mathematical research letters, ISSN 1073-2780, Vol. 17, Nº 2-3, 2010, págs. 493-506
• Idioma: inglés
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• Resumen

  • We outline a proof of a remarkable conjecture of Labastida-Mari\~no-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.