Homology, Homotopy and Applications

Volume 26 (2024)

Number 1

Polynomial generators of $\mathbf{MSU}^\ast [1/2]$ related to classifying maps of certain formal group laws

Pages: 1 – 14

DOI: https://dx.doi.org/10.4310/HHA.2024.v26.n1.a1


Malkhaz Bakuradze (Faculty of Exact and Natural Sciences, A. Razmadze Math. Institute, Ivane Javakhishvili Tbilisi State University, Republic of Georgia)


This paper presents a commutative complex oriented cohomology theory that realizes the Buchstaber formal group law $F_B$ localized away from $2$. It is shown that the restriction of the classifying map of $F_B$ on the special unitary cobordism ring localized away from $2$ defines a four parameter genus, studied by Hoehn and Totaro.


complex bordism, $SU$-bordism, formal group law, complex elliptic genus

2010 Mathematics Subject Classification

55N22, 55N35

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Received 27 April 2022

Received revised 19 November 2022

Accepted 14 December 2022

Published 24 January 2024