Trudy Matematicheskogo Instituta imeni V.A. Steklova
RUS  ENG    JOURNALS   PEOPLE   ORGANISATIONS   CONFERENCES   SEMINARS   VIDEO LIBRARY   PACKAGE AMSBIB  
General information
Latest issue
Forthcoming papers
Archive
Impact factor
Guidelines for authors
License agreement

Search papers
Search references

RSS
Latest issue
Current issues
Archive issues
What is RSS


Trudy Mat. Inst. Steklova:
Year:
Volume:
Issue:
Page:
Find




Personal entry:
Login:
Password:
Save password
Enter
Forgotten password?
Register

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
Full-text PDF (948 kB) Citations (2)
References:
PDF
HTML
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
Linking options:
  • https://www.mathnet.ru/eng/tm712
  • https://www.mathnet.ru/eng/tm/v225/p46
    • This publication is cited in the following 2 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    		Òðóäû Ìàòåìàòè÷åñêîãî èíñòèòóòà èìåíè Â. À. Ñòåêëîâà Proceedings of the Steklov Institute of Mathematics
    Statistics & downloads:
    Abstract page:346
    Full-text PDF :110
    References:55
    First page:1
     
      Contact us:
    		  Terms of Use  Registration to the website  Logotypes © Steklov Mathematical Institute RAS, 2024