Matematičeskie zametki, Tome 5 (1969) no. 4, pp. 401-408
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F. A. Bogomolov. The actions of a circumference on smooth odd-dimensional spheres. Matematičeskie zametki, Tome 5 (1969) no. 4, pp. 401-408. http://geodesic.mathdoc.fr/item/MZM_1969_5_4_a0/
@article{MZM_1969_5_4_a0,
author = {F. A. Bogomolov},
title = {The actions of a circumference on smooth odd-dimensional spheres},
journal = {Matemati\v{c}eskie zametki},
pages = {401--408},
year = {1969},
volume = {5},
number = {4},
language = {ru},
url = {http://geodesic.mathdoc.fr/item/MZM_1969_5_4_a0/}
}
TY - JOUR
AU - F. A. Bogomolov
TI - The actions of a circumference on smooth odd-dimensional spheres
JO - Matematičeskie zametki
PY - 1969
SP - 401
EP - 408
VL - 5
IS - 4
UR - http://geodesic.mathdoc.fr/item/MZM_1969_5_4_a0/
LA - ru
ID - MZM_1969_5_4_a0
ER -
%0 Journal Article
%A F. A. Bogomolov
%T The actions of a circumference on smooth odd-dimensional spheres
%J Matematičeskie zametki
%D 1969
%P 401-408
%V 5
%N 4
%U http://geodesic.mathdoc.fr/item/MZM_1969_5_4_a0/
%G ru
%F MZM_1969_5_4_a0
The $J$-invariant of a smooth structure on an odd-dimensional sphere is constructed, which allows us to obtain information on smooth structures on a sphere with free action of a circumference and, in particular, yields complete information when the sphere is of dimension seven.
