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Spaces of projection method patterns and their cohomology.

Hunton, John (2015) 'Spaces of projection method patterns and their cohomology.', in Mathematics of aperiodic order. Basel: Birkhäuser, pp. 105-135. Progress in mathematics. (309).

Abstract

We explain from the basics why the Čech cohomology of a tiling space can be realised in terms of group cohomology, and use this to explain how to compute the cohomology of a projection pattern.

Item Type:Book chapter
Keywords:Aperiodic patterns, Cut and project, Model sets, Cohomology, Tilings, Cantor bundles.
Full text:Publisher-imposed embargo
(AM) Accepted Manuscript
File format - PDF (Copyright agreement prohibits open access to the full-text)
(401Kb)
Status:Peer-reviewed
Publisher Web site:http://dx.doi.org/10.1007/978-3-0348-0903-0_4
Date accepted:25 November 2014
Date deposited:21 May 2015
Date of first online publication:30 July 2015
Date first made open access:No date available

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