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Hi, for a few days a paper was published on arxiv.org with the title "The six dimensional sphere is a complex manifold": http://arxiv.org/PS_cache/math/pdf/0505/0505634v3.pdf

Because I am not able to understand the whole paper, I want to ask if someone read this paper and can someone say, if the proof is right or not.

Edit January 12, 2011: A new version is online: http://arxiv.org/pdf/math/0505634v4. Thanks, mathphysicist.

Thanks and best regards Florian M.

edited Jan 12 2011 at 17:13

Pete L. Clark
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asked Jan 2 2011 at 9:10

Florian Modler
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I'm unable to understand the paper either, but I must say the phrase "in what follows we hope to prove the existence of a complex structure on the six-sphere" sounds less self-assured than the title! – Mark Grant Jan 2 2011 at 13:25

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I have not looked at this paper yet. Thanks for pointing it out. However, you should change the title of your question, since your question really is about a specific paper. (In fact, I suspect the question might get closed because these sorts of questions usually are.) In any case, more background in general about this problem is discussed here: mathoverflow.net/questions/1973/… – Spiro Karigiannis Jan 2 2011 at 14:06

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Hi Florian. With no disrespect intended, I have voted to close because questions of the form "is this proof correct?" have been deemed inappropriate for MO. On the other hand, a question more like "I am having trouble understanding step X on line 24 of page 5 of <arXiv link>" are considered less controversial, more direct, and thus acceptable. If I am mistaken concerning the etiquette, then I apologize in advance. – David Jordan Jan 2 2011 at 16:38

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@David: I don't think the closure etiquette here is so clear. I agree that asking if one's own proof is correct is off-topic for MO. However, asking about a preprint could be okay. In this instance, I voted up the question because I learned something from it: someone has made an apparently very serious attempt to resolve the conjecture of a complex structure on $S^6$. As a nonexpert in the area, I'm not going to get far by reading the paper itself, so I'd like to know what others think. As long as this can be done in a respectful way, I think it is fine for MO. – Pete L. Clark Jan 2 2011 at 16:45

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I can't speak for others, but I personally prefer links to abstracts (perhaps with a note about version number) instead of pdfs. – S. Carnahan♦ Jan 12 2011 at 15:28

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A paper to the question, if the six dimensional sphere is a complex manifold

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