9 citations · 14 across the 9 of their papers we have counts for
10 papers
A remark on weighted Bergman kernels on orbifolds
Xianzhe Dai, Kefeng Liu, Xiaonan Ma
In this note, we explain that Ross-Thomas' result on the weighted Bergman kernels on orbifolds can be directly deduced from our previous result. This result plays an important role…
Calabi flow and projective embeddings
Joel Fine
Let X be a smooth subvariety of CP^N. We study a flow, called balancing flow, on the space of projectively equivalent embeddings of X, which attempts to deform the given embedding…
A remark on 'Some numerical results in complex differential geometry'
Kefeng Liu, Xiaonan Ma
In this note we verify certain statement about the operator constructed by Donaldson in [3] by using the full asymptotic expansion of Bergman kernel obtained in [2] and [4].
-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…
Elliptic genus and vertex operator algebras
Chongying Dong, Kefeng Liu, Xiaonan Ma
We construct bundles of modules of vertex operator algebras, and prove the rigidity and vanishing theorem for the Dirac operator on loop space twisted by such bundles. This result…
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.