• Corpus ID: 117233210

Cohomology groups for projection point patterns

  title={Cohomology groups for projection point patterns},
  author={A. H. Forrest and John R. Hunton and Johannes Kellendonk},
  journal={arXiv: Mathematical Physics},
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. Gahler for many well-known icosahedral tilings. 

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