34 citations · 91 across the 12 of their papers we have counts for
9 papers · 1 filter
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…
On orbifold elliptic genus
Chongying Dong, Kefeng Liu, Xiaonan Ma
We define orbifold elliptic genus for general orbifolds which generalizes the definition of Borisov and Libgober, and prove their rigidity property.
Adiabatic Limits and Foliations
Kefeng Liu, Weiping Zhang
We use adiabatic limits to study foliated manifolds. The Bott connection naturally shows up as the adiabatic limit of Levi-Civita connections. As an application, we then construct…
On Elliptic Genera and Foliations
Kefeng Liu, Xiaonan Ma, Weiping Zhang
We prove several vanishing theorems for a class of generalized elliptic genera on foliated manifolds, by using classical equivariant index theory. The main techniques are the use o…