Hypersurface representation and the image of the double S^3-transfer

Details Hypersurface representation and the image of the double S^3-transfer Hypersurface representation and the image of the double S^3-transfer

2009-03-25

arxiv.org/abs/0903.4474v1

Geom. Topol. Monogr. 10 (2007) 187-193

Mathematics

Algebraic Topology

This is the version published by Geometry & Topology Monographs on 29 January 2007

Scientific paper

10.2140/gtm.2007.10.187

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.

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