Cohomology groups for projection tilings of codimension 2

[摘要] The gap-labelling group, which provides the set of possible values of the integrated density of states on Saps in the spectrum of a Hamiltonian describing particles in a tiling, is frequently related to the cohomology of the tiling. We present explicit results for the cohomology of many well-known tilings obtained from the cut and projection method with codimension 2, including the (generalized) Penrose tilings, the Tubingen triangle tiling, the Ammann-Beenker tiling, and the Secular tiling. (C) 2000 Elsevier Science B.V. All rights reserved.

[发布日期] 2000-12-15

[效力级别]  Proceedings Paper

[关键词] quasicrystals;tilings;cohomology groups