与某些形式群法的分类映射有关的$\mathbf{MSU}^\ast [1/2]$ 的多项式生成器

Pub Date : 2024-01-24 DOI:10.4310/hha.2024.v26.n1.a1

Malkhaz Bakuradze

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引用次数: 0

摘要

本文提出了一种交换复面向同调理论，它实现了布赫斯塔伯形式群律 $F_B$ 从 $2$ 开始局部化。结果表明，$F_B$ 的分类映射在特殊单元共线环上的限制离$2$局部化定义了霍恩和托塔罗所研究的四参数属。

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

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.

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