34 citations · 91 across the 12 of their papers we have counts for
13 papers · 1 filter
A simple proof of Witten conjecture through localization
Yon-Seo Kim, Kefeng Liu
We obtain a system of relations between linear Hodge integrals. As an application, we show that its first non-trivial relation implies the Witten's Conjecture/Kontsevich Theorem.
Topological String Partition Functions as Equivariant Indices
Jun Li, Kefeng Liu, Jian Zhou
We propose to use the identification of topological string partition functions as equivariant indices on framed moduli spaces of instantons to study the Gopakumar-Vafa conjecture f…
-fixed-points in hyper-Quot-schemes and an exact mirror formula for flag manifolds from the extended mirror principle diagram
Chien-Hao Liu, Kefeng Liu, Shing-Tung Yau
In [L-L-Y1, III: Sec. 5.4] on mirror principle, a method was developed to compute the integral for a flag manifold $X=\Fl_{r_1, ...…
Shafarevich's Conjecture for CY Manifolds I
Kefeng Liu, Andrey Todorov, Shing-Tung Yau +1
In this paper we first study the moduli spaces related to Calabi-Yau manifolds. We then apply the results to the following problem. Let be a fixed Riemann surface with fixed fi…
Mariño-Vafa Formula and Hodge Integral Identities
Chiu-Chu Melissa Liu, Kefeng Liu, Jian Zhou
In this note we derive some consequences from the Mariño-Vafa formula and the cut-and-join equation, these include unified simple proofs of the conjecture and some other Hodg…
On a Proof of a Conjecture of Marino-Vafa on Hodge Integrals
Chiu-Chu Melissa Liu, Kefeng Liu, Jian Zhou
We outline a proof of a remarkable formula for Hodge integrals conjectured by Marino and Vafa in hep-th/0108064 base on large N duality.