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 , arising from a linear action on the -torus, where is a finite group. The main application is the complete calculation of torsion gerbes for six-dimensional examples arising in string theory.