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Matematicheskie Zametki, 2008, Volume 84, Issue 5, Pages 763–771
DOI: https://doi.org/10.4213/mzm4055 (Mi mzm4055) 		 
This article is cited in 1 scientific paper (total in 1 paper)

Bott's Periodicity Theorem and Differentials of the Adams Spectral Sequence of Homotopy Groups of Spheres

V. A. Smirnov

Moscow State Pedagogical University
Full-text PDF (448 kB) Citations (1)
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DOI: https://doi.org/10.4213/mzm4055
Abstract: Bott's periodicity theorem is applied to calculate higher-order differentials of the Adams spectral sequence of homotopy groups π∗(SO)π∗(SO). The resulting formulas are used to find higher-order differentials of the Adams spectral sequence of homotopy groups of spheres.
Keywords: Bott's periodicity theorem, differentials of the Adams spectral sequence, homotopy groups of spheres, stable homotopy group, exterior algebra, loop space.
Received: 08.05.2007
English version:
Mathematical Notes, 2008, Volume 84, Issue 5, Pages 710–717
DOI: https://doi.org/10.1134/S0001434608110126
Bibliographic databases:
UDC: 513.83
Language: Russian
Citation: V. A. Smirnov, “Bott's Periodicity Theorem and Differentials of the Adams Spectral Sequence of Homotopy Groups of Spheres”, Mat. Zametki, 84:5 (2008), 763–771; Math. Notes, 84:5 (2008), 710–717
Citation in format AMSBIB
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  • https://doi.org/10.4213/mzm4055
  • https://www.mathnet.ru/eng/mzm/v84/i5/p763
    • This publication is cited in the following 1 articles:
    1. Smirnov V. A., “Differentials of the Adams spectral sequence and the Kervaire invariant”, Dokl. Math., 80:1 (2009), 573  mathnet  crossref  mathscinet  zmath  isi  elib  elib  scopus
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    		Математические заметки Mathematical Notes
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