Topological invariants for projection method patterns
代数拓扑
2007-05-23 v1 凝聚态物理
摘要
We analyze and compare different dynamical systems and groupoids which can be obtained from projection point patterns. We define the cohomology of a point pattern as the cocycle cohomology of the pattern groupoid. We describe this cohomology qualitatively and calculate it for canonical projection method tilings with codimension smaller or equal than 3.
引用
@article{arxiv.math/0010265,
title = {Topological invariants for projection method patterns},
author = {Alan Forrest and John Hunton and Johannes Kellendonk},
journal= {arXiv preprint arXiv:math/0010265},
year = {2007}
}
备注
106 pages