Formal groups, power systems and Adams operators
Sbornik. Mathematics, Tome 13 (1971) no. 1, pp. 80-116
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This paper provides a systematic presentation of the connection between the theory of one-dimensional formal groups and the theory of unitary cobordism. Two new algebraic concepts are introduced: formal power systems and two-valued formal groups. A presentation of the general theory of formal power systems is given, and it is shown that cobordism theory gives
a nontrivial example of a system which is not a formal group. A two-valued formal group is constructed whose ring of coefficients is closely related to the bordism ring of a symplectic manifold. Finally, applications of formal groups and power systems are made to the theory of fixed points of periodic transformations of quasicomplex manifolds.
Bibliography: 17 titles.
@article{SM_1971_13_1_a4,
author = {V. M. Buh\v{s}taber and S. P. Novikov},
title = {Formal groups, power systems and {Adams} operators},
journal = {Sbornik. Mathematics},
pages = {80--116},
publisher = {mathdoc},
volume = {13},
number = {1},
year = {1971},
language = {en},
url = {http://geodesic.mathdoc.fr/item/SM_1971_13_1_a4/}
}
V. M. Buhštaber; S. P. Novikov. Formal groups, power systems and Adams operators. Sbornik. Mathematics, Tome 13 (1971) no. 1, pp. 80-116. http://geodesic.mathdoc.fr/item/SM_1971_13_1_a4/