Cohomology groups for projection point patterns
Mathematical Physics
2007-05-23 v1 Algebraic Topology
math.MP
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 well-known icosahedral tilings.
Cite
@article{arxiv.math-ph/0010050,
title = {Cohomology groups for projection point patterns},
author = {Alan Forrest and John Hunton and Johannes Kellendonk},
journal= {arXiv preprint arXiv:math-ph/0010050},
year = {2007}
}
Comments
7 pages for the proceedings of the ICMP 2000