| A Quantum Modification of Relative Chen–Ruan Cohomology |
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| 基金项目： | The second author is supported by National Natural Science Foundation of China (Grant Nos. 11071173 and 11221101) |
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| 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 ofG, the blow-up of G along H,to give a quantum modification of the relative Chen–Ruan cohomology ring H*CR(G, H) when H is a compact symplectic sub-orbifold of the compact symplectic orbifold G.
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A quantum modification of relative Chen-Ruan cohomology |
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| Authors: | Cheng Yong Du Bo Hui Chen |
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| Institution: | 1. Department of Mathematics, Sichuan University, Chengdu 610065, P. R. China;
2. Department of Mathematics and Yangtze Mathematical Center, Sichuan University, Chengdu 610065, P. R. China |
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| Abstract: | 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 ?, the blow-up of G along H, to give a quantum modification of the relative Chen-Ruan cohomology ring HCR*(G,H) when H is a compact symplectic sub-orbifold of the compact symplectic orbifold G. |
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| Keywords: | de Rham model relative Chen-Ruan cohomology relative orbifold quantum cohomology |
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