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This article is cited in 7 scientific papers (total in 8 papers)
Topological constructions connected with many-valued formal groups
V. M. Buchstaber, A. N. Kholodov
Abstract:
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.
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Mathematics of the USSR-Izvestiya, 1983, 20:1, 1–25
Bibliographic databases:
 
UDC:
513.836
MSC: Primary 55N22; Secondary 14L05, 57R77
Received: 19.02.1981
Citation:
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
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\by V.~M.~Buchstaber, A.~N.~Kholodov
\paper Topological constructions connected with many-valued formal groups
\jour Izv. Akad. Nauk SSSR Ser. Mat.
\yr 1982
\vol 46
\issue 1
\pages 3--27
\mathnet{http://mi.mathnet.ru/izv1602}
\mathscinet{http://www.ams.org/mathscinet-getitem?mr=643890}
\zmath{https://zbmath.org/?q=an:0548.55005|0501.55003}
\transl
\jour Math. USSR-Izv.
\yr 1983
\vol 20
\issue 1
\pages 1--25
\crossref{https://doi.org/10.1070/IM1983v020n01ABEH001336}
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This publication is cited in the following articles:
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A. N. Kholodov, “Multidimensional two-valued commutative formal groups”, Russian Math. Surveys, 43:1 (1988), 243–244
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A. N. Kholodov, “The umbral calculus on multivalued formal groups, and Adams projections in $K$-theory”, Math. USSR-Sb., 65:2 (1990), 423–437
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Alexander N. Kholodov, “Formal coalgebras and applications”, Journal of Pure and Applied Algebra, 85:3 (1993), 271
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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
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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
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V. M. Buchstaber, “$n$-valued groups: theory and applications”, Mosc. Math. J., 6:1 (2006), 57–84
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V. M. Buchstaber, “Complex cobordism and formal groups”, Russian Math. Surveys, 67:5 (2012), 891–950
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V. M. Buchstaber, A. P. Veselov, “Conway topograph, $\mathrm{PGL}_2(\pmb{\mathbb Z})$-dynamics and two-valued groups”, Russian Math. Surveys, 74:3 (2019), 387–430
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