Cohomology groups for projection point patterns

Thumbnail Image

Date

Authors

Journal Title

Journal ISSN

Volume Title

Publisher

Abstract

Description

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.
7 pages for the proceedings of the ICMP 2000

Keywords

Mathematical Physics, Algebraic Topology, 37Bxx; 52C23; 55N15

Citation

URI

http://salesiana.dossiersoluciones.com/handle/123456789/56656

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/math-ph/0010050
 http://arxiv.org/abs/math-ph/0010050

Collections

arXiv