A quantum modification of relative Chen-Ruan cohomology

Citation
Du, Cheng Yong et Chen, Bo Hui, A quantum modification of relative Chen-Ruan cohomology, Acta mathematica Sinica. English series (Print) , 31(2), 2015, pp. 225-254
ISSN journal
14398516
Volume
31
Issue
2
Year of publication
2015
Pages
225 - 254
Database
ACNP
SICI code
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 H*CR(G,H) when H is a compact symplectic sub-orbifold of the compact symplectic orbifold G.