The suspension of a 4-manifold and its applications

IF 0.8 2区数学 Q2 MATHEMATICS

Israel Journal of Mathematics Pub Date : 2024-09-03 DOI:10.1007/s11856-024-2659-0

Tseleung So, Stephen Theriault

引用次数: 0

Abstract

Let M be a smooth, orientable, closed, connected 4-manifold and suppose that H₁(M; ℤ) is finitely generated and has no 2-torsion. We give a homotopy decomposition of the suspension of M in terms of spheres, Moore spaces and ΣℂP². This is used to calculate any reduced generalized cohomology theory of M as a group and to determine the homotopy types of certain current groups and gauge groups.

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四曲面的悬浮及其应用

设 M 是光滑、可定向、封闭、连通的 4-manifold，并假设 H1(M; ℤ)是有限生成的且无 2-扭转。我们用球面、摩尔空间和 ΣℂP2 给出了 M 的悬浮同调分解。我们用它来计算 M 作为一个群的任何还原广义同调理论，并确定某些流群和规群的同调类型。

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

Israel Journal of Mathematics 数学-数学

CiteScore

1.70

自引率

10.00%

发文量

审稿时长

6 months

期刊介绍： The Israel Journal of Mathematics is an international journal publishing high-quality original research papers in a wide spectrum of pure and applied mathematics. The prestigious interdisciplinary editorial board reflects the diversity of subjects covered in this journal, including set theory, model theory, algebra, group theory, number theory, analysis, functional analysis, ergodic theory, algebraic topology, geometry, combinatorics, theoretical computer science, mathematical physics, and applied mathematics.