摘要
最近,Chen和Ruan对orbifold定义了一种非常有意义的上同调理论,称为Chen-Ruan上同调。然后,Chen和Hu对阿贝尔orbifold给出了一个deRham模型来计算其上的Chen-Ruan上同调环。在Chen和Hu的构造中,一个重要的工具是twist factor,通过它,Chen-Ruan上同调环可以不用复杂的全纯orbifold曲线就可以清晰的表示出来。本文作者的主要工作是使用Chen和Hu的方法来计算T^6/Z_4和T^6/(Z_2)~2的Chen-Ruan上同调环。
Recently, Chen and Ruan define a very interesting cohomology for orbifold, which is now called Chen-Ruan cohomology. Later, Chen and Hu give a deRham model to compute the Chen-Ruan cohomology ring of abelian orbifold. The important feature in Chen and Hu's ideas is twist factor, through which the cohomology ring can be defined without going through holomorphic orbifold curves. According to their ideas, the primary objective of this paper is to compute the Chen-Ruan cohomology rings of T^6/Z_4 and T^6/(Z_2)~2.
出处
《四川大学学报（自然科学版）》
CAS
CSCD
北大核心
2009年第2期291-296,共6页
Journal of Sichuan University(Natural Science Edition)
