V. M. Buhštaber, S. P. Novikov, “Formal groups, power systems and Adams operators”, Math. USSR-Sb., 13:1 (1971), 80–116
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This article is cited in 42 scientific papers (total in 45 papers)
Formal groups, power systems and Adams operators
V. M. Buhštaber, S. P. Novikov
Abstract:
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.
Received: 09.06.1970
Bibliographic databases:
Document Type: Article
UDC: 513.836
Language: English
Original paper language: Russian
Citation: V. M. Buhštaber, S. P. Novikov, “Formal groups, power systems and Adams operators”, Math. USSR-Sb., 13:1 (1971),
80–116
Citation in format AMSBIB
\Bibitem{BucNov71}
\by V.~M.~Buh{\v s}taber, S.~P.~Novikov
\paper Formal groups, power systems and Adams operators
\jour Math. USSR-Sb.
\yr 1971
\vol 13
\issue 1
\pages 80--116
\mathnet{http://mi.mathnet.ru/eng/sm3051}
\crossref{https://doi.org/10.1070/SM1971v013n01ABEH001030}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=291159}
\zmath{https://zbmath.org/?q=an:0222.55008|0239.55005}
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