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On the non-existence of elements of Kervaire invariant one. (English) Zbl 1373.55023
Jang, Sun Young (ed.) et al., Proceedings of the International Congress of Mathematicians (ICM 2014), Seoul, Korea, August 13–21, 2014. Vol. II: Invited lectures. Seoul: KM Kyung Moon Sa (ISBN 978-89-6105-805-6/hbk; 978-89-6105-803-2/set). 1219-1243 (2014).
Summary: We sketch a proof of our solution to the Kervaire invariant one problem, showing that there are Kervaire invariant one manifolds only in dimensions 2, 6, 14, 30, 62, and possibly 126. This resolves a long-standing problem in algebraic and differential topology.
For the entire collection see [Zbl 1314.00104].

55Q45 Stable homotopy of spheres
57R60 Homotopy spheres, Poincaré conjecture
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