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# Georgian Mathematical Journal

Editor-in-Chief: Kiguradze, Ivan / Buchukuri, T.

Editorial Board: Kvinikadze, M. / Bantsuri, R. / Baues, Hans-Joachim / Besov, O.V. / Bojarski, B. / Duduchava, R. / Engelbert, Hans-Jürgen / Gamkrelidze, R. / Gubeladze, J. / Hirzebruch, F. / Inassaridze, Hvedri / Jibladze, M. / Kadeishvili, T. / Kegel, Otto H. / Kharazishvili, Alexander / Kharibegashvili, S. / Khmaladze, E. / Kiguradze, Tariel / Kokilashvili, V. / Krushkal, S. I. / Kurzweil, J. / Kwapien, S. / Lerche, Hans Rudolf / Mawhin, Jean / Ricci, P.E. / Tarieladze, V. / Triebel, Hans / Vakhania, N. / Zanolin, Fabio

IMPACT FACTOR 2018: 0.551

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1572-9176
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Volume 26, Issue 2

# On formal group laws over the quotients of Lazard’s ring

• Corresponding author
• Faculty of Exact and Natural Sciences, A. Razmadze Mathematical Institute, Iv. Javakhishvili Tbilisi State University, Tbilisi, Georgia
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• Other articles by this author:
• Departement des Sciences Mathematiques, Universitè de Montpellier, Montpellier, France; and Sobolev Institute of Mathematics, Russia
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• Other articles by this author:
Published Online: 2019-04-09 | DOI: https://doi.org/10.1515/gmj-2019-2022

## Abstract

We present a formal power series $\sum {A}_{ij}{x}^{i}{y}^{j}$ over the Lazard ring Λ and the formal group laws ${F}_{n}$, $n\ge 2$, over the quotient rings of Λ. For each ${F}_{n}$, we construct a complex cobordism theory with singularities with the coefficient ring $ℚ\left[{p}_{1},\mathrm{\dots },{p}_{2n}\right]$, with parameters ${p}_{i}$, $|{p}_{i}|=2i$.

Keywords: Lazard ring; formal group law

MSC 2010: 33E05; 55N22

Dedicated to Academician Nodar Berikashvili on the occasion of his 90th birthday

## References

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Accepted: 2018-12-26

Published Online: 2019-04-09

Published in Print: 2019-06-01

The first author was supported by CNRS PICS N 7736, and by Shota Rustaveli NSF grant 217-614. The second author was supported by CNRS PICS N 7736.

Citation Information: Georgian Mathematical Journal, Volume 26, Issue 2, Pages 159–164, ISSN (Online) 1572-9176, ISSN (Print) 1072-947X,

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