posted on 2024-11-15, 06:50authored byDirk Frettloeh, Benjamin Whitehead, Michael Whittaker
We provide a computation of the Cech cohomology of the pinwheel tiling using the Anderson-Putnam complex. A border-forcing version of the pinwheel tiling is produced that allows an explicit construction of the complex for the quotient of the continuous hull by the circle. The cohomology of the continuous hull is given using a spectral sequence argument of Barge, Diamond, Hunton and Sadun.
History
Citation
Frettloeh, D., Whitehead, B. & Whittaker, M. (2014). Cohomology of the Pinwheel tiling. Journal of the Australian Mathematical Society, 97 162-179.