Spaces of Projection Method Patterns and their Cohomology
(2015)
Book Chapter
Hunton, J. (2015). Spaces of Projection Method Patterns and their Cohomology. In J. Kellendonk, D. Lenz, & J. Savinien (Eds.), Mathematics of aperiodic order (105-135). Birkhäuser Verlag. https://doi.org/10.1007/978-3-0348-0903-0_4
We explain from the basics why the Čech cohomology of a tiling space can be realised in terms of group cohomology, and use this to explain how to compute the cohomology of a projection pattern.