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

IF 0.8 4区数学 Q2 MATHEMATICS

Annales De L Institut Fourier 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。

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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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来源期刊

Annales De L Institut Fourier 数学-数学

CiteScore

1.70

自引率

0.00%

发文量

审稿时长

1 months

期刊介绍： The Annales de l’Institut Fourier aim at publishing original papers of a high level in all fields of mathematics, either in English or in French. The Editorial Board encourages submission of articles containing an original and important result, or presenting a new proof of a central result in a domain of mathematics. Also, the Annales de l’Institut Fourier being a general purpose journal, highly specialized articles can only be accepted if their exposition makes them accessible to a larger audience.