Geometric approach to stable homotopy groups of spheres. I. The Hopf invariant - Mathematics > Algebraic TopologyReport as inadecuate




Geometric approach to stable homotopy groups of spheres. I. The Hopf invariant - Mathematics > Algebraic Topology - Download this document for free, or read online. Document in PDF available to download.

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.



Author: Petr M. Akhmet'ev

Source: https://arxiv.org/



DOWNLOAD PDF




Related documents