This question already has an answer here:

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.

**Edit October 31, 2016:** Michael Atiyah has posted a paper on the arXiv claiming to prove that the complex 6-sphere does not exist.
https://arxiv.org/abs/1610.09366

one's own proofis 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 '11 at 16:45