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Uspekhi Mat. Nauk, 1971, Volume 26, Issue 2(158), Pages 131–154 (Mi umn5189)  

This article is cited in 12 scientific papers (total in 14 papers)

Formal groups and their role in the apparatus of algebraic topology

V. M. Buchstaber, A. S. Mishchenko, S. P. Novikov


Full text: PDF file (1447 kB)
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English version:
Russian Mathematical Surveys, 1971, 26:2, 63–90

Bibliographic databases:

UDC: 519.4+513.83
MSC: 55N22, 13F25, 19L20
Received: 03.12.1970

Citation: V. M. Buchstaber, A. S. Mishchenko, S. P. Novikov, “Formal groups and their role in the apparatus of algebraic topology”, Uspekhi Mat. Nauk, 26:2(158) (1971), 131–154; Russian Math. Surveys, 26:2 (1971), 63–90

Citation in format AMSBIB
\Bibitem{BucMisNov71}
\by V.~M.~Buchstaber, A.~S.~Mishchenko, S.~P.~Novikov
\paper Formal groups and their role in the apparatus of algebraic topology
\jour Uspekhi Mat. Nauk
\yr 1971
\vol 26
\issue 2(158)
\pages 131--154
\mathnet{http://mi.mathnet.ru/umn5189}
\mathscinet{http://www.ams.org/mathscinet-getitem?mr=445522}
\zmath{https://zbmath.org/?q=an:0224.57006}
\transl
\jour Russian Math. Surveys
\yr 1971
\vol 26
\issue 2
\pages 63--90
\crossref{https://doi.org/10.1070/RM1971v026n02ABEH003825}


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    Citing articles on Google Scholar: Russian citations, English citations
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    This publication is cited in the following articles:
    1. S. M. Gusein-Zade, I. M. Krichever, “O formulakh dlya nepodvizhnykh tochek deistviya gruppy $Z_p$”, UMN, 28:1(169) (1973), 237–238  mathnet  mathscinet  zmath
    2. V. M. Buchstaber, “Two-valued formal groups. Algebraic theory and applications to cobordism. I”, Math. USSR-Izv., 9:5 (1975), 987–1006  mathnet  crossref  mathscinet  zmath
    3. Yu. B. Rudyak, “Formal groups and bordisms with singularities”, Math. USSR-Sb., 25:4 (1975), 487–505  mathnet  crossref  mathscinet  zmath
    4. I. M. Krichever, “Ekvivariantnye rody Khirtsebrukha. Formula Ati–Khirtsebrukha”, UMN, 30:1(181) (1975), 243–244  mathnet  mathscinet  zmath
    5. S. S. Titov, “Solution of nonlinear equations in analytic polyalgebras. I”, Russian Math. (Iz. VUZ), 44:1 (2000), 65–75  mathnet  mathscinet  zmath  elib
    6. A. A. Bolibrukh, A. A. Irmatov, M. I. Zelikin, O. B. Lupanov, V. M. Maynulov, E. F. Mishchenko, M. M. Postnikov, Yu. P. Solov'ev, E. V. Troitskii, “Aleksandr Sergeevich Mishchenko (on his 60th birthday)”, Russian Math. Surveys, 56:6 (2001), 1187–1191  mathnet  crossref  crossref  mathscinet  zmath  adsnasa  isi
    7. 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  mathnet  crossref  crossref  mathscinet  zmath  adsnasa  isi
    8. Panin I., “Riemann-Roch Theorems for Oriented Cohomology”, Axiomatic, Enriched and Motivic Homotopy Theory, NATO Science Series, Series II: Mathematics, Physics and Chemistry, 131, ed. Greenlees J., Springer, 2004, 261–333  isi
    9. Buchstaber V., Panov T., Ray N., “Toric Genera”, International Mathematics Research Notices, 2010, no. 16, 3207–3262  isi  elib
    10. V. M. Buchstaber, E. Yu. Bun'kova, “Krichever Formal Groups”, Funct. Anal. Appl., 45:2 (2011), 99–116  mathnet  crossref  crossref  mathscinet  zmath  isi  elib  elib
    11. V. M. Buchstaber, “Complex cobordism and formal groups”, Russian Math. Surveys, 67:5 (2012), 891–950  mathnet  crossref  crossref  mathscinet  zmath  adsnasa  isi  elib  elib
    12. V. M. Bukhshtaber, E. Yu. Bunkova, “Universalnaya formalnaya gruppa, opredelyayuschaya ellipticheskuyu funktsiyu urovnya 3”, Chebyshevskii sb., 16:2 (2015), 66–78  mathnet  elib
    13. E. Yu. Bunkova, V. M. Buchstaber, A. V. Ustinov, “Coefficient rings of Tate formal groups determining Krichever genera”, Proc. Steklov Inst. Math., 292 (2016), 37–62  mathnet  crossref  crossref  mathscinet  zmath  isi  elib  elib
    14. V. M. Bukhshtaber, A. P. Veselov, “Topograf Konveya, $\mathrm{PGL}_2(\mathbb Z)$-dinamika i dvuznachnye gruppy”, UMN, 74:3(447) (2019), 17–62  mathnet  crossref
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