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

Author

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

Abstract

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.

Keywords

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

2010 Mathematics Subject Classification

55N22, 55N35

Full Text (PDF format)

Received 27 April 2022

Received revised 19 November 2022

Accepted 14 December 2022

Published 24 January 2024