Geodesic
Bott's Periodicity Theorem and Differentials of the Adams Spectral Sequence of Homotopy Groups of Spheres
Matematičeskie zametki, Tome 84 (2008) no. 5, pp. 763-771

Voir la notice de l'article provenant de la source Math-Net.Ru

Bott's periodicity theorem is applied to calculate higher-order differentials of the Adams spectral sequence of homotopy groups $\pi_*(SO)$. 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, exterior algebra, loop space.
Mots-clés : stable homotopy group 
@article{MZM_2008_84_5_a11,
     author = {V. A. Smirnov},
     title = {Bott's {Periodicity} {Theorem} and {Differentials} of the {Adams} {Spectral} {Sequence} of {Homotopy} {Groups} of {Spheres}},
     journal = {Matemati\v{c}eskie zametki},
     pages = {763--771},
     publisher = {mathdoc},
     volume = {84},
     number = {5},
     year = {2008},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/MZM_2008_84_5_a11/}
}
TY  - JOUR
AU  - V. A. Smirnov
TI  - Bott's Periodicity Theorem and Differentials of the Adams Spectral Sequence of Homotopy Groups of Spheres
JO  - Matematičeskie zametki
PY  - 2008
SP  - 763
EP  - 771
VL  - 84
IS  - 5
PB  - mathdoc
UR  - http://geodesic.mathdoc.fr/item/MZM_2008_84_5_a11/
LA  - ru
ID  - MZM_2008_84_5_a11
ER  - 
%0 Journal Article
%A V. A. Smirnov
%T Bott's Periodicity Theorem and Differentials of the Adams Spectral Sequence of Homotopy Groups of Spheres
%J Matematičeskie zametki
%D 2008
%P 763-771
%V 84
%N 5
%I mathdoc
%U http://geodesic.mathdoc.fr/item/MZM_2008_84_5_a11/
%G ru
%F MZM_2008_84_5_a11
V. A. Smirnov. Bott's Periodicity Theorem and Differentials of the Adams Spectral Sequence of Homotopy Groups of Spheres. Matematičeskie zametki, Tome 84 (2008) no. 5, pp. 763-771. http://geodesic.mathdoc.fr/item/MZM_2008_84_5_a11/