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Toroidal orbifolds, gerbes and group cohomology

Alejandro Adem·Jianzhong Pan
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Abstract

We compute the integral cohomology of certain semi-direct products 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 certain six dimensional examples arising from string theory.

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Alejandro Adem, Jianzhong Pan. 2004-06-07. Toroidal orbifolds, gerbes and group cohomology. https://arxiv.org/abs/math/0406130

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