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Abstract: A geometric approach to the stable homotopy groups of spheres is developed inthis paper, based on the Pontryagin-Thom construction. The task of thisapproach is to obtain an alternative proof of the Hill-Hopkins-Ravenel theoremH-H-R on Kervaire invariants in all dimensions, except, possibly, a finitenumber of dimensions. In the framework of this approach, the Adams theorem onthe Hopf invariant is studied, for all dimensions with the exception of 15, 31,63, 127. The new approach is based on the methods of geometric topology.



Autor: Petr M. Akhmet'ev

Fuente: https://arxiv.org/



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