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Paper detail

Detecting exotic spheres in low dimensions using coker J

Building off of the work of Kervaire and Milnor, and Hill, Hopkins, and Ravenel, Xu and Wang showed that the only odd dimensions n for which S^n has a unique differentiable structure are 1, 3, 5, and 61. We show that the only even dimensions below 140 for which S^n has a unique differentiable structure are 2, 6, 12, 56, and perhaps 4.

preprint2019arXivOpen access
Mark BehrensMichael HillMichael J. HopkinsMark Mahowald
math.AT
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Mark BehrensMichael HillMichael J. HopkinsMark Mahowald

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