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Trudy Matematicheskogo Instituta imeni V.A. Steklova, 1999, Volume 225, Pages 46–51 (Mi tm712)  
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
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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
Bibliographic databases:
UDC: 515.16
Language: Russian
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
Citation in format AMSBIB
\Bibitem{AkhEcc99}
\by P.~M.~Akhmet'ev, P.~J.~Eccles
\paper A Geometrical Proof of Browder's Result on the Vanishing of the Kervaire Invariant
\inbook Solitons, geometry, and topology: on the crossroads
\bookinfo Collection of papers dedicated to the 60th anniversary of academician Sergei Petrovich Novikov
\serial Trudy Mat. Inst. Steklova
\yr 1999
\vol 225
\pages 46--51
\publ Nauka, MAIK «Nauka/Inteperiodika»
\publaddr M.
\mathnet{http://mi.mathnet.ru/tm712}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=1725932}
\zmath{https://zbmath.org/?q=an:0983.57020}
\transl
\jour Proc. Steklov Inst. Math.
\yr 1999
\vol 225
\pages 40--44
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