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This page must mention that the conjectured map goes from the configuration space of points in $\mathbb{R}^3$ to a flag manifold. I can add it if you want, let me know when you are done editing.
Have now written more of an Idea-section (here).
(Have not yet described the map itself yet, which is easy enough to do, but I need to take care of something else now.)
General proof of the conjecture is claimed in Atiyah & Malkoun 2018, but I suspect that this is part of Atiyah’s Notblüte. Does anyone know more about this?
I suspect
yes, it does look like that, doesn’t it. I notice the MathSciNet review (in case anyone does not have a description) just copies the abstract of the paper. If the proof held up, I would imagine that the paper would have been given an actual review discussing the content.
It’s a shame if the community has nothing but superficially polite silence to handle this issue. I suggest we create a section on the page Michael Atiyah, where we explain what was going on with the late Atiyah in the last months of his life, such that we can point to there from respective entries, for explanation.
What is Notblüte in English? That term captures it well.
What is Notblüte in English?
So this is a botanical term, and you use it figuratively about people?
If I may. Possibly it works better in German, where “prime of his life” is “Blüte seines Lebens”. But do I need to find an English botanist?
Perhaps plainer talk is better here. As I understand it, due to senility Atiyah made a number of unfounded claims in talks and in print, not just conjectures but purported proofs. I’ve little sense of the scale of the issue. Is it that it’s quite clear which results are reliable? Are people assuming possibly unreliable ones?
…ill health was making Atiyah’s mathematics progressively difficult to comprehend
From memory, aside from the “geometric models for atoms”, which I’ve never really looked at (my doubts about that is on a physics level), the most recent really solid mathematical work by Atiyah was the two papers with Segal on twisted K-theory. Most of his more recent publications were reminiscences or historical, and then there are a few in the last 5-10 years that are seriously flaky (this one, the 6-sphere one, the RH one, the talk at the 2018 ICM spring to mind)
What is Notblüte in English?
I’m not sure of the botanical term, but “last-ditch effort” seems similar. Some searching finds “stress-induced flowering”.
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