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Toroidal orbifolds, gerbes and group cohomology
Authors:Alejandro Adem   Jianzhong Pan
Affiliation:Department of Mathematics, University of Wisconsin, Madison, Wisconsin 53706 ; Institute of Mathematics, Academia Sinica, Beijing 100080, People's Republic of China
Abstract:In this paper we compute the integral cohomology of certain semi-direct products of the form $ mathbb{Z}^nrtimes G$, arising from a linear $ G$ action on the $ n$-torus, where $ G$ is a finite group. The main application is the complete calculation of torsion gerbes for six-dimensional examples arising in string theory.

Keywords:Orbifolds   gerbes   group cohomology
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