16 citations · 48 across the 5 of their papers we have counts for
5 papers
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…
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…
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…
Proof of the Labastida-Marino-Ooguri-Vafa Conjecture
Kefeng Liu, Pan Peng
Based on large N Chern-Simons/topological string duality, in a series of papers, J.M.F. Labastida, M. Marino, H. Ooguri and C. Vafa conjectured certain remarkable new algebraic str…
A simple proof of Gopakumar-Vafa conjecture for local toric Calabi-Yau manifolds
Pan Peng
We prove Gopakumar-Vafa conjecture for local toric Calabi-Yau manifolds. It's also proved that the local Gopakumar-Vafa invariants of a given class at large genus vanish.