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arXiv · 1610.09366

The Non-Existent Complex 6-Sphere

Michael Atiyah
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Abstract

The possible existence of a complex structure on the 6-sphere has been a famous unsolved problem for over 60 years. In that time many "solutions" have been put forward, in both directions. Mistakes have always been found. In this paper I present a short proof of the non-existence, based on ideas developed, but not fully exploited, over 50 years ago. The only change in v2. is in section 3, where the notation has been clarified.

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Michael Atiyah. 2016-10-25. The Non-Existent Complex 6-Sphere. https://arxiv.org/abs/1610.09366

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