Extra-twisted connected sum \(G_2\)-manifolds

IF 0.6 3区数学 Q3 MATHEMATICS

Annals of Global Analysis and Geometry Pub Date : 2023-06-12 DOI:10.1007/s10455-023-09893-1

Johannes Nordström

引用次数: 5

Abstract

We present a construction of closed 7-manifolds of holonomy \(G_2\), which generalises Kovalev’s twisted connected sums by taking quotients of the pieces in the construction before gluing. This makes it possible to realise a wider range of topological types, and Crowley, Goette and the author use this to exhibit examples of closed 7-manifolds with disconnected moduli space of holonomy \(G_2\) metrics.

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超扭连通和\（G_2\）-流形

我们给出了一个闭7-流形的构造（G_2\），它通过在粘合之前取构造中的块的商来推广Kovalev的扭连通和。这使得实现更广泛的拓扑类型成为可能，Crowley、Goette和作者利用这一点展示了具有全息\（G_2\）度量的断开模空间的闭7-流形的例子。

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

Annals of Global Analysis and Geometry 数学-数学

CiteScore

1.20

自引率

0.00%

发文量

审稿时长

6-12 weeks

期刊介绍： This journal examines global problems of geometry and analysis as well as the interactions between these fields and their application to problems of theoretical physics. It contributes to an enlargement of the international exchange of research results in the field. The areas covered in Annals of Global Analysis and Geometry include: global analysis, differential geometry, complex manifolds and related results from complex analysis and algebraic geometry, Lie groups, Lie transformation groups and harmonic analysis, variational calculus, applications of differential geometry and global analysis to problems of theoretical physics.