本项目将研究环簇的陈-阮上同调的计算，研究辛orbifold 在加权blowup下，其陈-阮上同调的变化，以及研究一般orbifold的陈-阮上同调计算方法。首先对加权射影空间进行blowup，计算其陈-阮上同调;接着研究更一般的环簇，计算其陈-阮上同调在加权blowup下的变化，由于环簇有很强的组合性质，我们希望能够由fan结构的变化刻画出陈-阮上同调的变化，从而得到变化的规律；最后，把得到的规律推广到一般的辛orbifold，计算其陈-阮上同调在加权blowup下的变化。

We will compute the Chen-Ruan cohomology of toric variety, study the change of symplectic orbifold''s Chen-Ruan cohomology under weighted blowup, and study the model to compute the Chen-Ruan cohomology of general orbifolds. First, we blow up the weighted projecrive space, and compute the Chen-Ruan cohonology of the blowup.Then we consider the toric variety. With the combinatorial structure of toric varieties, we will dedermine the change of Chen-Ruan cohomology by the underlying fan. Finally, generalize the result to general symplectic orbifolds, and compute the Chen-Ruan cohonology of a symplectic orbifold and its blowup, and then study the difference between them.