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Topological invariants for projection method patterns

Alan Forrest·John Hunton·Johannes Kellendonk
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Abstract

We analyze and compare different dynamical systems and groupoids which can be obtained from projection point patterns. We define the cohomology of a point pattern as the cocycle cohomology of the pattern groupoid. We describe this cohomology qualitatively and calculate it for canonical projection method tilings with codimension smaller or equal than 3.

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Alan Forrest, John Hunton, Johannes Kellendonk. 2000-10-27. Topological invariants for projection method patterns. https://arxiv.org/abs/math/0010265

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