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math.GT2014★ 13 cited
Congruent skein relations for colored HOMFLY-PT invariants and colored Jones polynomials
Qingtao Chen, Kefeng Liu, Pan Peng +1
Colored HOMFLY-PT invariant, the generalization of the colored Jones polynomial, is one of the most important quantum invariants of links. This paper is devoted to investigating th…
math.GT2010★ 6 cited
New Structure of Knot Invariants
Kefeng Liu, Pan Peng
Based on the proof of Labastida-Mari{ñ}o-Ooguri-Vafa conjecture \cite{lmov}, we derive an infinite product formula for Chern-Simons partition functions, the generating function of…
math.GT2010★ 16 cited
On a proof of the Labastida-Marino-Ooguri-Vafa conjecture
Kefeng Liu, Pan Peng
We outline a proof of a remarkable conjecture of Labastida-Mari{ñ}o-Ooguri-Vafa about certain new algebraic structures of quantum link invariants and the integrality of infinite fa…