Does anyone have a copy of the unpublished preprint of Karen Uhlenbeck A priori estimates for Yang-Mills fields from around 1986?

It appears to have circulated for some time, and it is quoted in several papers in the field (Uhlenbeck-Yau, Daskalopoulos-Wentworth, De Bartolomeis-Tian,...) sometimes with precise references to theorem numbers. However, I could not find it anywhere on the internet.

The results covered in this preprint are probably proved in other places by now, but I'd still be interested in reading it.

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    $\begingroup$ I do have it, I think. But I am out of town this week. I can check my filing cabinet next week, and if it's there, I'll scan it in and post a link. $\endgroup$ – Spiro Karigiannis Feb 22 '11 at 17:15
  • $\begingroup$ That'd be great! Thanks a lot in either case... $\endgroup$ – YangMills Feb 22 '11 at 17:29
  • $\begingroup$ Out of curiosity, have you tried asking her for a copy? $\endgroup$ – Willie Wong Feb 22 '11 at 22:08
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    $\begingroup$ I just heard back from Karen, She said: I found a manuscript in my drawer entitled "a prior estimates for Yang-Mills fields". I am pretty sure that the results must be in papers of Tom Otway. Also the paper of Peter Price must do about the same thing. I got stuck on implementing them, and never followed through. I had long ago forgotten about it. I may be able to get them scanned on Monday. I will then send you the scan. When I get the scan from Karen, I will make it available. $\endgroup$ – Dick Palais Feb 24 '11 at 22:09
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    $\begingroup$ I have a scanned copy of the paper. I do not want to put the file at my webpage, but I am happy to send it to Dick if Karen could not scan. The paper has an overlap with my paper, which is available at projecteuclid.org/… $\endgroup$ – Hiraku Nakajima Mar 1 '11 at 8:29

Sorry it took so long. The scanned version of Uhlenbeck's preprint is available here:


I can leave it there for a few months, at least.

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  • $\begingroup$ It is newer than what I have. $\endgroup$ – Hiraku Nakajima Mar 12 '11 at 4:42
  • $\begingroup$ It is very likely the "final" version. Sometime while I was a student of Yau, probably around 2000, Yau asked for a copy of this preprint from his former student Conan Leung, and this was faxed to him. Conan probably obtained it from Uhlenbeck in the early 1990's. $\endgroup$ – Spiro Karigiannis Mar 12 '11 at 13:27

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