Integer Cech cohomology of icosahedral projection tilings

Gähler F, Hunton J, Kellendonk J (2008)
ZEITSCHRIFT FUR KRISTALLOGRAPHIE 223(11-12): 801-804.

Zeitschriftenaufsatz | Veröffentlicht | Englisch
 
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Autor*in
Gähler, FranzUniBi; Hunton, John; Kellendonk, Johannes
Abstract / Bemerkung
The integer Cech cohomology of canonical projection tilings of dimension three and codimension three is derived. These formulae are then evaluated for several icosahedral tilings known from the literature. Rather surprisingly, the cohomologies of all these tilings turn out to have torsion. This is the case even for the Danzer tiling, which is, in some sense, the simplest of all icosahedral tilings. This result is in contrast to the case of two-dimensional canonical projection tilings, where many examples without torsion are known.
Stichworte
Cohomology; Torsion; Tilings
Erscheinungsjahr
2008
Zeitschriftentitel
ZEITSCHRIFT FUR KRISTALLOGRAPHIE
Band
223
Ausgabe
11-12
Seite(n)
801-804
ISSN
0044-2968
Page URI
https://pub.uni-bielefeld.de/record/1634250

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Gähler F, Hunton J, Kellendonk J. Integer Cech cohomology of icosahedral projection tilings. ZEITSCHRIFT FUR KRISTALLOGRAPHIE. 2008;223(11-12):801-804.
Gähler, F., Hunton, J., & Kellendonk, J. (2008). Integer Cech cohomology of icosahedral projection tilings. ZEITSCHRIFT FUR KRISTALLOGRAPHIE, 223(11-12), 801-804. doi:10.1524/zkri.2008.1070
Gähler, F., Hunton, J., and Kellendonk, J. (2008). Integer Cech cohomology of icosahedral projection tilings. ZEITSCHRIFT FUR KRISTALLOGRAPHIE 223, 801-804.
Gähler, F., Hunton, J., & Kellendonk, J., 2008. Integer Cech cohomology of icosahedral projection tilings. ZEITSCHRIFT FUR KRISTALLOGRAPHIE, 223(11-12), p 801-804.
F. Gähler, J. Hunton, and J. Kellendonk, “Integer Cech cohomology of icosahedral projection tilings”, ZEITSCHRIFT FUR KRISTALLOGRAPHIE, vol. 223, 2008, pp. 801-804.
Gähler, F., Hunton, J., Kellendonk, J.: Integer Cech cohomology of icosahedral projection tilings. ZEITSCHRIFT FUR KRISTALLOGRAPHIE. 223, 801-804 (2008).
Gähler, Franz, Hunton, John, and Kellendonk, Johannes. “Integer Cech cohomology of icosahedral projection tilings”. ZEITSCHRIFT FUR KRISTALLOGRAPHIE 223.11-12 (2008): 801-804.

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arXiv: 0809.4442

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