A Quantum Modification of Relative Chen–Ruan Cohomology  

作　　者：Cheng Yong DU Bo Hui CHEN 

机构地区：[1]Department of Mathematics, Sichuan University [2]Department of Mathematics and Yangtze Mathematical Center, Sichuan University

出　　处：《Acta Mathematica Sinica,English Series》2015年第2期225-254,共30页数学学报（英文版）

基　　金：supported by National Natural Science Foundation of China(Grant Nos.11071173 and 11221101)

摘　　要：In this paper, by using the de Rham model of Chen-Ruan cohomology, we define the relative Chen-Ruan cohomology ring for a pair of almost complex orbifold （G, H） with H being an almost sub-orbifold of G. Then we use the Gromov Witten invariants of G, the blow-up of G along H,to give a quantum modification of the relative Chen-Ruan cohomology ring H^R（G, H） when H is a compact symplectic sub-orbifold of the compact symplectic orbifold G.In this paper, by using the de Rham model of Chen-Ruan cohomology, we define the relative Chen-Ruan cohomology ring for a pair of almost complex orbifold （G, H） with H being an almost sub-orbifold of G. Then we use the Gromov Witten invariants of G, the blow-up of G along H,to give a quantum modification of the relative Chen-Ruan cohomology ring H^R（G, H） when H is a compact symplectic sub-orbifold of the compact symplectic orbifold G.

关 键 词：de Rham model relative Chen-Ruan cohomology relative orbifold quantum cohomology 

分 类 号：O189.22[理学—数学] O413[理学—基础数学]