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