English

Compatible Actions and Cohomology of Crystallographic Groups

Algebraic Topology 2007-05-23 v1 Group Theory

Abstract

We compute the cohomology of crystallographic groups with holonomy of prime order. As an application we compute the group of gerbes associated to many six--dimensional toroidal orbifolds arising in string theory.

Keywords

Cite

@article{arxiv.0704.1823,
  title  = {Compatible Actions and Cohomology of Crystallographic Groups},
  author = {Alejandro Adem and Jianquan Ge and Jianzhong Pan and Nansen Petrosyan},
  journal= {arXiv preprint arXiv:0704.1823},
  year   = {2007}
}