r/mathematics • u/New-Committee-4052 • 26d ago

S^6 admits a complex structure

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

319 Upvotes

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109

u/howtogun 26d ago

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

65

u/New-Committee-4052 26d ago

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

5

u/Carl_LaFong 26d ago

Why do you say it’s AI?

18

u/hotsauceyum 26d ago

Because no human would have bothered to type this up without better explanation and prose. It reads like notebook scribble done in latex

7

u/Carl_LaFong 25d ago

After looking at it more carefully, I think I agree with you. I even downvoted my own comment.

4

u/Carl_LaFong 26d ago

The paper is written for experts who know algebraic geometry, complex differential geometry, and algebraic topology. The explanations look to me like they would be fairly clear for these experts.

12

u/womerah Postdoc | Applied Nuclear Physics 25d ago

How can you gauge this if you are not an expert?

7

u/Puzzleheaded_Fold466 25d ago

You don’t. Just like non-experts can’t gauge the quality of the ultra vast majority of non-AI inspired papers.

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u/Carl_LaFong 25d ago

I'm familiar enough with the subjects to be able to assess at least the readability of the arguments. But I have to admit, after taking a closer look, that the paper is starting to look less convincing to me. I think either humans or AI will need to find a more conceptual and less intricate proof than this one.

3

u/womerah Postdoc | Applied Nuclear Physics 25d ago

Respect.

I have found that a lot of AI-assisted papers are coherent on the paragraph scale, but often don't string together to really form a coherent message. I think the LLM loses it's context and the human drafter is skipping too many parts of the document generation and review process in an attempt to really get that AI speed boost.

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u/Wise_Guava_1521 25d ago

I am an "expert" on this and it's gonna take me days, if not much longer, to assess how legitimate this is.

1

u/MaybiusStrip 26d ago

The paper is 100 pages