Skip to main content
MathOverflow

Return to Question

Became Hot Network Question
added 155 characters in body
Source Link
Kyle
Kyle
  • 243
  • 1
  • 9

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.

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.

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.

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.

corrected spelling in title
Link
Kyle
Kyle
  • 243
  • 1
  • 9

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

Source Link
Kyle
Kyle
  • 243
  • 1
  • 9

Reference request: Cut-and-project method gives rise to a fiber bundler 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.

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.