arXiv Analytics

Sign in

arXiv:1212.4401 [math.DS]AbstractReferencesReviewsResources

Cohomology of the Pinwheel Tiling

Dirk Frettlöh, Benjamin Whitehead, Michael F. Whittaker

Published 2012-12-18Version 1

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.

Comments: 14 pages, 4 figures, 3 appendices
Categories: math.DS
Subjects: 37B50
Related articles: Most relevant | Search more
arXiv:1004.2281 [math.DS] (Published 2010-04-13, updated 2018-07-06)
Exact Regularity and the Cohomology of Tiling Spaces
arXiv:0811.2507 [math.DS] (Published 2008-11-15, updated 2018-07-06)
Cohomology of Substitution Tiling Spaces
arXiv:1306.2210 [math.DS] (Published 2013-06-10, updated 2014-02-27)
The action on cohomology by compositions of rational maps

Links

Toolbox