Cohomology of the Pinwheel Tiling
Dynamical Systems
2014-09-23 v1
Abstract
We provide a computation of the cohomology of the Pinwheel tiling using the Anderson-Putnam complex. A border forcing version of the Pinwheel tiling is constructed that allows an explicit construction of the complex for the quotient of the continuous hull by the circle. The final result is given using a spectral sequence argument of Barge, Diamond, Hunton, and Sadun.
Keywords
Cite
@article{arxiv.1212.4401,
title = {Cohomology of the Pinwheel Tiling},
author = {Dirk Frettlöh and Benjamin Whitehead and Michael F. Whittaker},
journal= {arXiv preprint arXiv:1212.4401},
year = {2014}
}
Comments
14 pages, 4 figures, 3 appendices