Cohomology groups for projection point patterns

Details Cohomology groups for projection point patterns Cohomology groups for projection point patterns

2000-10-30

arxiv.org/abs/math-ph/0010050v1

Physics

Mathematical Physics

7 pages for the proceedings of the ICMP 2000

Scientific paper

Aperiodic point sets (or tilings) which can be obtained by the method of cut and projection from higher dimensional periodic sets play an important role for the description of quasicrystals. Their topological invariants can be computed using the higher dimensional periodic structure. We report on the results obtained for the cohomology groups of projection point patterns supplemented by explicit calculations made by F. Gaehler for many well-known icosahedral tilings.

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