34 citations · 157 across the 30 of their papers we have counts for
4 papers · 1 filter
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…
Geometry of Hermitian manifolds
Kefeng Liu, Xiaokui Yang
On Hermitian manifolds, the second Ricci curvature tensors of various metric connections are closely related to the geometry of Hermitian manifolds. By refining the Bochner formula…
Finiteness of Subfamilies of Calabi-Yau n-Folds over Curves with Maximal Length of Yukawa-Coupling
Kefeng Liu, Andrey Todorov, Shing-Tung Yau +1
We give a simplified and more algebraic proof of the finiteness of the families of Calabi-Yau n-folds with non-vanishing of Yukawa-coupling over a fixed base curve and with fixed d…