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arXiv · 2007.11304

Examples of deformed G_2-instantons/Donaldson-Thomas connections

Jason D. Lotay·Goncalo Oliveira
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Abstract

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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Jason D. Lotay, Goncalo Oliveira. 2020-07-22. Examples of deformed G_2-instantons/Donaldson-Thomas connections. https://arxiv.org/abs/2007.11304

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