This article is cited in 6 scientific papers (total in 7 papers)
Topological constructions connected with many-valued formal groups
V. M. Buchstaber, A. N. Kholodov
In this paper, to each many-valued formal group in cobordism theory there are associated generalized cohomology theories, analogous to $K$-theory and cobordism theory, and a geometric realization of many-valued formal groups in cobordism is obtained. In addition, there is proposed a construction, with the help of which all formal groups known in topology are obtained.
Bibliography: 14 titles.
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Mathematics of the USSR-Izvestiya, 1983, 20:1, 1–25
MSC: Primary 55N22; Secondary 14L05, 57R77
V. M. Buchstaber, A. N. Kholodov, “Topological constructions connected with many-valued formal groups”, Izv. Akad. Nauk SSSR Ser. Mat., 46:1 (1982), 3–27; Math. USSR-Izv., 20:1 (1983), 1–25
Citation in format AMSBIB
\by V.~M.~Buchstaber, A.~N.~Kholodov
\paper Topological constructions connected with many-valued formal groups
\jour Izv. Akad. Nauk SSSR Ser. Mat.
\jour Math. USSR-Izv.
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A. N. Kholodov, “Multidimensional two-valued commutative formal groups”, Russian Math. Surveys, 43:1 (1988), 243–244
A. N. Kholodov, “The umbral calculus on multivalued formal groups, and Adams projections in $K$-theory”, Math. USSR-Sb., 65:2 (1990), 423–437
Alexander N. Kholodov, “Formal coalgebras and applications”, Journal of Pure and Applied Algebra, 85:3 (1993), 271
B. I. Botvinnik, V. M. Buchstaber, S. P. Novikov, S. A. Yuzvinskii, “Algebraic aspects of the theory of multiplications in complex cobordism theory”, Russian Math. Surveys, 55:4 (2000), 613–633
A. A. Bolibrukh, A. P. Veselov, A. B. Zhizhchenko, I. M. Krichever, A. A. Mal'tsev, S. P. Novikov, T. E. Panov, Yu. M. Smirnov, “Viktor Matveevich Buchstaber (on his 60th birthday)”, Russian Math. Surveys, 58:3 (2003), 627–635
V. M. Buchstaber, “$n$-valued groups: theory and applications”, Mosc. Math. J., 6:1 (2006), 57–84
V. M. Buchstaber, “Complex cobordism and formal groups”, Russian Math. Surveys, 67:5 (2012), 891–950
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