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Almost complex structures on spheres. (arXiv:1707.03883v1 [math.DG])
来源于:arXiv
In this paper we review the well-known fact that the only spheres admitting
an almost complex structure are S^2 and S^6. The proof described here uses
characteristic classes and the Bott periodicity theorem in topological
K-theory. This paper originates from the talk "Almost Complex Structures on
Spheres" given by the second author at the MAM1 workshop "(Non)-existence of
complex structures on S^6", held in Marburg from March 27th to March 30th,
2017. It is a review paper, and as such no result is intended to be original.
We tried to produce a clear, motivated and as much as possible self-contained
exposition. 查看全文>>