Skip to main content
3 of 3
added 155 characters in body
Kyle
  • 243
  • 1
  • 9

Reference request: Cut-and-project method gives rise to a fiber bundle over the torus

I apologize in advance for how vague this request is.

A few weeks ago, I came upon a paper that (if I recall correctly) proves that the hull of a cut-and-project tiling is a fiber bundle over a torus. This is not the paper by Sadun cited below, but rather it specifically deals with cut-and-project tilings. If I recall correctly, it was published in a journal of physics, or the author was a physicist. I don't recall the name being one of the "big names" in tiling spaces (like Bellisard, Forrest, Hunton, Kellendonk, Putnam, etc.). I am interested mainly in the methods that they used in the paper, and not the result itself. Sadly, the computer on which I found the paper died shortly after I found it and I lost everything related to that paper. I have no author name, no paper title, and very vague search terms to go off of in my hunt.

Edit: it might be that the result I'm thinking of is actually related to something with bounded displacement rather than the hull being a fiber bundle.

Does anyone happen to have any idea what paper this might be?

References

Sadun, Lorenzo; Williams, R. F., Tiling spaces are Cantor set fiber bundles., Ergodic Theory Dyn. Syst. 23, No. 1, 307-316 (2003). ZBL1038.37014.

Kyle
  • 243
  • 1
  • 9