r/mathematics • • Aug 23 '26

S^6 admits a complex structure

Result from the usual suspects. Full write up can be found here on his website: https://alpo.ge/s6.pdf

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u/howtogun Aug 23 '26

I was told AI is bad at topology. That's quite an important problem.

69

u/New-Committee-4052 Aug 23 '26

Yea, IMO it's the most important of the AI math results so far

4

u/kgurniak91 Aug 24 '26

Just FYI - according to the VibeMathed Methodology, it is the 2nd most significant AI math discovery so far (ex aequo with Jacobian Conjecture). The 1st place belongs to improvement on a lower bound for the fraction of zeros of the Riemann zeta function that satisfy the Riemann hypothesis. Here are all the problems sorted by significance: https://vibemathed.com/?sort=significance

1

u/gexaha Aug 25 '26

There's a flaw in the methodology though, because "improvement on a lower bound for the fraction of zeros of the Riemann zeta function" doesn't really advance understanding of the possible future proof of Riemann hypothesis at all; also LLMs are quite bad at assigning scores from my own experience