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Compatible actions and cohomology of crystallographic groups

Compatible actions and cohomology of crystallographic groups
Compatible actions and cohomology of crystallographic groups
We compute the cohomology of crystallographic groups ?=Zn?Z/p with holonomy of prime order by establishing the collapse at E2 of the spectral sequence associated to their defining extension. As an application we compute the group of gerbes associated to many six-dimensional toroidal orbifolds arising in string theory.
0021-8693
341-353
Adem, Alejandro
f10ed11e-d609-4a7e-98a2-1e166839f4e6
Ge, Jianquan
da3efee8-16bf-4be3-b96a-e595b9830879
Pan, Jianzhong
53c5df1d-c210-4c1a-a066-67b57f7b467b
Petrosyan, Nansen
f169cfd6-aeee-4ad2-b147-0bf77dd1f9b6
Adem, Alejandro
f10ed11e-d609-4a7e-98a2-1e166839f4e6
Ge, Jianquan
da3efee8-16bf-4be3-b96a-e595b9830879
Pan, Jianzhong
53c5df1d-c210-4c1a-a066-67b57f7b467b
Petrosyan, Nansen
f169cfd6-aeee-4ad2-b147-0bf77dd1f9b6

Adem, Alejandro, Ge, Jianquan, Pan, Jianzhong and Petrosyan, Nansen (2008) Compatible actions and cohomology of crystallographic groups. Journal of Algebra, 320 (1), 341-353. (doi:10.1016/j.jalgebra.2008.02.012).

Record type: Article

Abstract

We compute the cohomology of crystallographic groups ?=Zn?Z/p with holonomy of prime order by establishing the collapse at E2 of the spectral sequence associated to their defining extension. As an application we compute the group of gerbes associated to many six-dimensional toroidal orbifolds arising in string theory.

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More information

Published date: 1 July 2008
Organisations: Pure Mathematics

Identifiers

Local EPrints ID: 356880
URI: https://eprints.soton.ac.uk/id/eprint/356880
ISSN: 0021-8693
PURE UUID: c903577d-9649-43a4-963d-d10357ff4693

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Date deposited: 20 Sep 2013 15:46
Last modified: 18 Jul 2017 03:36

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