Toroidal orbifolds, gerbes and group cohomology
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- by Alejandro Adem and Jianzhong Pan PDF
- Trans. Amer. Math. Soc. 358 (2006), 3969-3983 Request permission
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.References
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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
- MR Author ID: 23100
- 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
- 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
- © Copyright 2006 American Mathematical Society
- Journal: Trans. Amer. Math. Soc. 358 (2006), 3969-3983
- MSC (2000): Primary 20J06
- DOI: https://doi.org/10.1090/S0002-9947-06-04017-7
- MathSciNet review: 2219005