This article is cited in 13 papers

Coefficient rings of formal group laws

V. M. Buchstaber^ab, A. V. Ustinov<sup>c

a</sup> Steklov Mathematical Institute of Russian Academy of Sciences
^b Institute for Information Transmission Problems of the Russian Academy of Sciences (Kharkevich Institute), Moscow
^c Khabarovsk Division of the Institute for Applied Mathematics, Far Eastern Branch, Russian Academy of Sciences

Abstract: We describe the coefficient rings of universal formal group laws which arise in algebraic geometry, algebraic topology and their application to mathematical physics. We also describe the homomorphisms of these coefficient rings coming from reductions of one formal group law to another. The proofs are based on the number-theoretic properties of binomial coefficients.
Bibliography: 37 titles.

Keywords: formal group law, addition law, binomial coefficients, Hirzebruch genus.

UDC: 512.741+517.583

MSC: 14L05, 55N22

Received: 26.03.2015 and 14.09.2015

DOI: 10.4213/sm8523

 English version: Sbornik: Mathematics, 2015, 206:11, 1524–1563

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