34 citations · 100 across the 18 of their papers we have counts for
4 papers · 1 filter
An effective recursion formula for computing intersection numbers
Kefeng Liu, Hao Xu
We prove a new effective recursion formula for computing all intersection indices (integrals of classes) on the moduli space of curves, inducting only on the genus.
Dissipative Hyperbolic Geometric Flow
Wen-Rong Dai, De-Xing Kong, Kefeng Liu
In this paper we introduce and study a new kind of hyperbolic geometric flows --dissipative hyperbolic geometric flow. This kind of flow is defined by a system of quasilinear wave…
The hyperbolic geometric flow on Riemann surfaces
De-Xing Kong, Kefeng Liu, De-Liang Xu
In this paper the authors study the hyperbolic geometric flow on Riemann surfaces. This new nonlinear geometric evolution equation was recently introduced by the first two authors…
Localization and Conjectures from String Duality
Kefeng Liu
We describe the applications of localization methods, in particular the functorial localization formula, in the proofs of several conjectures from string theory. Functorial localiz…