Hypersurface representation and the image of the double S^3-transfer
Algebraic Topology
2009-03-27 v1
Abstract
We study the image of a transfer homomorphism in the stable homotopy groups of spheres. Actually, we show that an element of order 8 in the 18 dimensional stable stem is in the image of a double transfer homomorphism, which reproves a result due to P J Eccles that the element is represented by a framed hypersurface. Also, we determine the image of the transfer homomorphism in the 16 dimensional stable stem.
Keywords
Cite
@article{arxiv.0903.4474,
title = {Hypersurface representation and the image of the double S^3-transfer},
author = {Mitsunori Imaoka},
journal= {arXiv preprint arXiv:0903.4474},
year = {2009}
}
Comments
This is the version published by Geometry & Topology Monographs on 29 January 2007