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Izvestiya: Mathematics, 2002, Volume 66, Issue 5, Pages 1057–1086
DOI: https://doi.org/10.1070/IM2002v066n05ABEH000406 (Mi im406) 		 
This article is cited in 3 scientific papers (total in 3 papers)

The $A_\infty$-structures and differentials of the Adams spectral sequence

V. A. Smirnov

Moscow State Pedagogical University
English version PDF (301 kB) Citations (3) Russian version article
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DOI: https://doi.org/10.1070/IM2002v066n05ABEH000406
Abstract: Using operad methods and functional homology operations, we obtain inductive formulae for the differentials of the Adams spectral sequence of stable homotopy groups of spheres.
Received: 31.10.2000
Revised: 09.06.2001
Bibliographic databases:
UDC: 513.83
MSC: 55U99, 18G35, 55U15, 55Q25, 57T30, 55R40
Language: English
Original paper language: Russian
Citation: V. A. Smirnov, “The $A_\infty$-structures and differentials of the Adams spectral sequence”, Izv. Math., 66:5 (2002), 1057–1086
Citation in format AMSBIB
\Bibitem{Smi02}
\by V.~A.~Smirnov
\paper The $A_\infty$-structures and differentials of the Adams spectral sequence
\jour Izv. Math.
\yr 2002
\vol 66
\issue 5
\pages 1057--1086
\mathnet{http://mi.mathnet.ru/eng/im406}
\crossref{https://doi.org/10.1070/IM2002v066n05ABEH000406}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=1965940}
\zmath{https://zbmath.org/?q=an:1080.55009}
\scopus{https://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-33748505472}
Linking options:
  • https://www.mathnet.ru/eng/im406
  • https://doi.org/10.1070/IM2002v066n05ABEH000406
  • https://www.mathnet.ru/eng/im/v66/i5/p193
    • This publication is cited in the following 3 articles:
    1. V. A. Smirnov, “Differentials of the Adams spectral sequence and the Kervaire invariant”, Dokl. Math., 80:1 (2009), 573  crossref
    2. V. A. Smirnov, “Bott's Periodicity Theorem and Differentials of the Adams Spectral Sequence of Homotopy Groups of Spheres”, Math. Notes, 84:5 (2008), 710–717  mathnet  crossref  crossref  mathscinet  isi  elib
    3. V. A. Smirnov, “Secondary Steenrod operations in cohomology of infinite-dimensional projective spaces”, Math. Notes, 79:3 (2006), 440–445  mathnet  crossref  crossref  mathscinet  zmath  isi  elib
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    		Известия Российской академии наук. Серия математическая Izvestiya: Mathematics
    Statistics & downloads:
    Abstract page:404
    Russian version PDF:236
    English version PDF:26
    References:51
    First page:1
     
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