P. M. Akhmet'ev, P. J. Eccles, “A Geometrical Proof of Browder's Result on the Vanishing of the Kervaire Invariant”, Trudy Mat. Inst. Steklova, 1999, Volume 225,Pages <nobr>46

This article is cited in 2 papers

A Geometrical Proof of Browder's Result on the Vanishing of the Kervaire Invariant

P. M. Akhmet'ev^a, P. J. Eccles^b

^a Institute of Terrestrial Magnetism, Ionosphere and Radio Wave Propagation
^b University of Manchester

Abstract: The Kervaire invariant is a $Z/2$-invariant of framed manifolds of dimension $n=4k+2$. W. Browder proved that this invariant necessarily vanishes if $n+2$ is not a power of 2. We give a geometrical proof of this result using a characterization of the Kervaire invariant in terms of multiple points of immersions.

UDC: 515.16

Received in December 1998