English

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

Symplectic Geometry 2007-05-23 v3 Differential Geometry

Abstract

We present a deRham model for Chen-Ruan cohomology ring of abelian orbifolds. We introduce the notion of \emph{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.

Keywords

Cite

@article{arxiv.math/0408265,
  title  = {A deRham model for Chen-Ruan cohomology ring of abelian orbifolds},
  author = {Bohui Chen and Shengda Hu},
  journal= {arXiv preprint arXiv:math/0408265},
  year   = {2007}
}

Comments

14 pages, corrected typos, added more references and shifted to presentation using groupoid