Cohomology groups for projection point patterns
Forrest, Alan ; Hunton, John ; Kellendonk, Johannes
arXiv, 0010050 / Harvested from arXiv
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.
Publié le : 2000-10-30
Classification:  Mathematical Physics,  Mathematics - Algebraic Topology,  37Bxx,  52C23,  55N15
@article{0010050,
     author = {Forrest, Alan and Hunton, John and Kellendonk, Johannes},
     title = {Cohomology groups for projection point patterns},
     journal = {arXiv},
     volume = {2000},
     number = {0},
     year = {2000},
     language = {en},
     url = {http://dml.mathdoc.fr/item/0010050}
}
Forrest, Alan; Hunton, John; Kellendonk, Johannes. Cohomology groups for projection point patterns. arXiv, Tome 2000 (2000) no. 0, . http://gdmltest.u-ga.fr/item/0010050/