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A quantum modification of relative Chen-Ruan cohomology

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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 Ĝ, 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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Authors and Affiliations

  1. Department of Mathematics, Sichuan University, Chengdu, 610065, P. R. China

    Cheng Yong Du

  2. Department of Mathematics and Yangtze Mathematical Center, Sichuan University, Chengdu, 610065, P. R. China

    Bo Hui Chen

Authors
  1. Cheng Yong Du
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  2. Bo Hui Chen
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Correspondence to Bo Hui Chen.

Additional information

The second author is supported by National Natural Science Foundation of China (Grant Nos. 11071173 and 11221101)

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Du, C.Y., Chen, B.H. A quantum modification of relative Chen-Ruan cohomology. Acta. Math. Sin.-English Ser. 31, 225–254 (2015). https://doi.org/10.1007/s10114-015-3731-9

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  • DOI: https://doi.org/10.1007/s10114-015-3731-9

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