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A deRham model for Chen-Ruan cohomology ring of Abelian orbifolds

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Abstract

We present a deRham model for Chen-Ruan cohomology ring of abelian orbifolds. We introduce the notion of twist factors so that formally the stringy cohomology ring can be defined without going through pseudo-holomorphic orbifold curves. Thus our model can be viewed as the classical description of Chen-Ruan cohomology for abelian orbifolds. The model simplifies computation of Chen-Ruan cohomology ring. Using our model, we give a version of wall crossing formula.

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Authors and Affiliations

  1. Department of Mathematics, Sichuan University, Chengdu, Sichuan, 610064, P.R.CHINA

    Bohui Chen

  2. Centre de recherches mathématiques, Université de Montréal, CP 6128 succ Centre-Ville, Montréal, QC, H3C 3J7, Canada

    Shengda Hu

Authors
  1. Bohui Chen
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  2. Shengda Hu
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Correspondence to Shengda Hu.

Additional information

B.C is supported by a grant of NSFC

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Chen, B., Hu, S. A deRham model for Chen-Ruan cohomology ring of Abelian orbifolds. Math. Ann. 336, 51–71 (2006). https://doi.org/10.1007/s00208-006-0774-3

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  • DOI: https://doi.org/10.1007/s00208-006-0774-3

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