Positive scalar curvature and homology cobordism invariants

IF 0.8 2区数学 Q2 MATHEMATICS

Journal of Topology Pub Date : 2023-05-29 DOI:10.1112/topo.12299

Hokuto Konno, Masaki Taniguchi

引用次数: 0

Abstract

We give an obstruction to positive scalar curvature metrics on 4-manifolds with the homology $S^{1} \times S^{3}$ described in terms of homology cobordism invariants from Seiberg–Witten theory. The main tool of the proof is a relative Bauer–Furuta-type invariant on a periodic-end 4-manifold.

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正标量曲率与同调协不变量

利用Seiberg-Witten理论中的同调协不变量，给出了4‐流形上具有S1×S3$S^{1} \乘以S^{3}$的正标量曲率度量的阻碍。证明的主要工具是周期端4流形上的一个相对Bauer-Furuta型不变量。

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

Journal of Topology 数学-数学

CiteScore

2.00

自引率

9.10%

发文量

审稿时长

>12 weeks

期刊介绍： The Journal of Topology publishes papers of high quality and significance in topology, geometry and adjacent areas of mathematics. Interesting, important and often unexpected links connect topology and geometry with many other parts of mathematics, and the editors welcome submissions on exciting new advances concerning such links, as well as those in the core subject areas of the journal. The Journal of Topology was founded in 2008. It is published quarterly with articles published individually online prior to appearing in a printed issue.