变形G2-instantons/ Donaldson-Thomas连接的例子

Pub Date : 2020-07-22 DOI:10.5802/aif.3465

Jason D. Lotay, Gonçalo Oliveira

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引用次数: 10

摘要

在这篇文章中，我们提供了变形G_2常数的第一个非平凡的例子，最初称为变形Donaldson-Thomas连接。因此，我们看到了变形的G_2常数如何被用来区分3-Sasakian-7流形上几乎平行的G_2结构和等距的G_2构造。我们的例子给出了具有阻塞变形理论的非平凡变形G_ 2常数，以及变形G_。最后，我们研究了我们的例子与一个Chern-Simons型泛函之间的关系，该泛函以变形的G_2常数为临界点。

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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Examples of deformed G2-instantons/Donaldson–Thomas connections

In this note, we provide the first non-trivial examples of deformed G_2-instantons, originally called deformed Donaldson-Thomas connections. As a consequence, we see how deformed G_2-instantons can be used to distinguish between nearly parallel G_2-structures and isometric G_2-structures on 3-Sasakian 7-manifolds. Our examples give non-trivial deformed G_2-instantons with obstructed deformation theory and situations where the moduli space of deformed G_2-instantons has components of different dimensions. We finally study the relation between our examples and a Chern-Simons type functional which has deformed G_2-instantons as critical points.

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