Proof of the Labastida-Mariño-Ooguri-Vafa conjecture

Liu, Kefeng; Peng, Pan

Liu, Kefeng ; Peng, Pan

J. Differential Geom., Tome 84 (2010) no. 1, p. 479-525 / Harvested from Project Euclid

Résumé

Based on large $N$ Chern-Simons/topological string duality, in a series of papers, Labastida, Mariño, Ooguri, and Vafa conjectured certain remarkable new algebraic structure of link invariants and the existence of infinite series of new integer invariants. In this paper, we provide a proof of this conjecture. Moreover, we also show these new integer invariants vanish at large genera.

Publié le : 2010-07-15
Classification:

@article{1292940692,
     author = {Liu, Kefeng and Peng, Pan},
     title = {Proof of the Labastida-Mari\~no-Ooguri-Vafa conjecture},
     journal = {J. Differential Geom.},
     volume = {84},
     number = {1},
     year = {2010},
     pages = { 479-525},
     language = {en},
     url = {http://dml.mathdoc.fr/item/1292940692}
}

Liu, Kefeng; Peng, Pan. Proof of the Labastida-Mariño-Ooguri-Vafa conjecture. J. Differential Geom., Tome 84 (2010) no. 1, pp.  479-525. http://gdmltest.u-ga.fr/item/1292940692/