|
|
Sfb 288 Differential Geometry and Quantum Physics |
Abstract for Sfb Preprint No. 395
Cohomology of canonical projection tilings H. Forrest, J. R. Hunton and J. Kellendonk
We define the cohomology of a tiling as cocycle cohomology ofits associated groupoid andconsider this cohomology for the class of tilings which areobtained from a higher dimensional lattice bythe canonical projection method in Schlottmann's formulation. We relate it to the cohomology of this lattice and discuss one of its qualitative features: it provides a topological obstruction for a generic tiling to besubstitutional.For tilings of codimension smaller or equal to $2$ we present explicitformulae.
Get a gzip-compressed PostScript copy of this preprint
preprint395.ps.gz (171 kB)