34 citations · 54 across the 6 of their papers we have counts for
6 papers
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…
Canonical Metrics on the Moduli Space of Riemann Surfaces II
Kefeng Liu, Xiaofeng Sun, Shing-Tung Yau
In this paper we continue our study on the canonical metrics on the Teichmüller and the moduli space of Riemman surfaces. We first prove the equivalence of the Bergman metric and t…
-theory associated to vertex operator algebras
Chongying Dong, Kefeng Liu, Xiaonan Ma +1
We introduce two -theories, one for vector bundles whose fibers are modules of vertex operator algebras, another for vector bundles whose fibers are modules of associative algeb…
Canonical Metrics on the Moduli Space of Riemann Surfaces I
Kefeng Liu, Xiaofeng Sun, Shing-Tung Yau
We prove the equivalences of several classical complete metrics on the Teichmüller and the moduli spaces of Riemann surfaces. We use as bridge two new Kähler metrics, the Ricci met…
-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, ...…