Cohomology groups for projection point patterns
Abstract
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 wellknown icosahedral tilings.
 Publication:

arXiv eprints
 Pub Date:
 October 2000
 arXiv:
 arXiv:mathph/0010050
 Bibcode:
 2000math.ph..10050F
 Keywords:

 Mathematical Physics;
 Algebraic Topology;
 37Bxx;
 52C23;
 55N15
 EPrint:
 7 pages for the proceedings of the ICMP 2000