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Trudy Matematicheskogo Instituta imeni V.A. Steklova, 1999, Volume 225, Pages 46–51
(Mi tm712)
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This article is cited in 2 scientific papers (total in 2 papers)
A Geometrical Proof of Browder's Result on the Vanishing of the Kervaire Invariant
P. M. Akhmet'eva, P. J. Ecclesb 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.
Received in December 1998
Citation:
P. M. Akhmet'ev, P. J. Eccles, “A Geometrical Proof of Browder's Result on the Vanishing of the Kervaire Invariant”, Solitons, geometry, and topology: on the crossroads, Collection of papers dedicated to the 60th anniversary of academician Sergei Petrovich Novikov, Trudy Mat. Inst. Steklova, 225, Nauka, MAIK «Nauka/Inteperiodika», M., 1999, 46–51; Proc. Steklov Inst. Math., 225 (1999), 40–44
Linking options:
https://www.mathnet.ru/eng/tm712 https://www.mathnet.ru/eng/tm/v225/p46
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Abstract page: | 339 | Full-text PDF : | 106 | References: | 51 | First page: | 1 |
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