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

IF 0.8 4区数学 Q2 MATHEMATICS

Homology Homotopy and Applications Pub Date : 2024-01-24 DOI:10.4310/hha.2024.v26.n1.a1

Malkhaz Bakuradze

引用次数: 0

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.

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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

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。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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来源期刊

Homology Homotopy and Applications 数学-数学

CiteScore

1.10

自引率

0.00%

发文量

审稿时长

>12 weeks

期刊介绍： Homology, Homotopy and Applications is a refereed journal which publishes high-quality papers in the general area of homotopy theory and algebraic topology, as well as applications of the ideas and results in this area. This means applications in the broadest possible sense, i.e. applications to other parts of mathematics such as number theory and algebraic geometry, as well as to areas outside of mathematics, such as computer science, physics, and statistics. Homotopy theory is also intended to be interpreted broadly, including algebraic K-theory, model categories, homotopy theory of varieties, etc. We particularly encourage innovative papers which point the way toward new applications of the subject.