Cohomology of the pinwheel tiling

Authors

Dirk Frettloeh, University of BielefeldFollow
Benjamin Whitehead, University of WollongongFollow
Michael Whittaker, University of WollongongFollow

RIS ID

93274

Publication Details

Frettloeh, D., Whitehead, B. & Whittaker, M. (2014). Cohomology of the Pinwheel tiling. Journal of the Australian Mathematical Society, 97 162-179.

Abstract

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.