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Transactions of the American Mathematical Society
Transactions of the American Mathematical Society
ISSN 1088-6850(online) ISSN 0002-9947(print)

 

Toroidal orbifolds, gerbes and group cohomology


Authors: Alejandro Adem and Jianzhong Pan
Journal: Trans. Amer. Math. Soc. 358 (2006), 3969-3983
MSC (2000): Primary 20J06
Published electronically: April 11, 2006
MathSciNet review: 2219005
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Abstract: In this paper we compute the integral cohomology of certain semi-direct products of the form $ \mathbb{Z}^n\rtimes 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.


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Additional Information

Alejandro Adem
Affiliation: Department of Mathematics, University of Wisconsin, Madison, Wisconsin 53706
Address at time of publication: Department of Mathematics, University of British Columbia, Vancouver, British Columbia, Canada V6T 1Z2
Email: adem@math.wisc.edu, adem@math.ubc.ca

Jianzhong Pan
Affiliation: Institute of Mathematics, Academia Sinica, Beijing 100080, People’s Republic of China
Email: pjz@math03.math.ac.cn

DOI: http://dx.doi.org/10.1090/S0002-9947-06-04017-7
PII: S 0002-9947(06)04017-7
Keywords: Orbifolds, gerbes, group cohomology
Received by editor(s): June 10, 2004
Published electronically: April 11, 2006
Additional Notes: The first author was partially supported by the NSF, and the second author was partially supported by NSFC project 19701032
Article copyright: © Copyright 2006 American Mathematical Society