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On the uniqueness of the smooth structure of the 61-sphere

GUOZHEN Wang Zhouli Xu

Algebraic Topology and General Topology mathscidoc:1912.43836

arXiv preprint arXiv:1601.02184, 2016.1
We prove that the 61-sphere has a unique smooth structure. Following results of Moise [35], Kervaire-Milnor [25], Browder [10] and Hill-Hopkins-Ravenel [19], we show that the only odd dimensional spheres with a unique smooth structure are S1, S3, S5 and S61.
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@inproceedings{guozhen2016on,
  title={On the uniqueness of the smooth structure of the 61-sphere},
  author={GUOZHEN Wang, and Zhouli Xu},
  url={http://archive.ymsc.tsinghua.edu.cn/pacm_paperurl/20191224210109655206400},
  booktitle={arXiv preprint arXiv:1601.02184},
  year={2016},
}
GUOZHEN Wang, and Zhouli Xu. On the uniqueness of the smooth structure of the 61-sphere. 2016. In arXiv preprint arXiv:1601.02184. http://archive.ymsc.tsinghua.edu.cn/pacm_paperurl/20191224210109655206400.
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