Examples of deformed G2-instantons/Donaldson–Thomas connections
In this note, we provide the first non-trivial examples of deformed G2-instantons, originally called deformed Donaldson–Thomas connections. As a consequence, we see how deformed G2-instantons can be used to distinguish between nearly parallel G2-structures and isometric G2-structures on 3-Sasakian 7...
| Main Authors: | , |
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| Format: | Journal article |
| Language: | English |
| Published: |
Association des Annales de l'Institut Fourier
2022
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| Summary: | In this note, we provide the first non-trivial examples of deformed G2-instantons, originally called deformed Donaldson–Thomas connections. As a consequence, we see how deformed G2-instantons can be used to distinguish between nearly parallel G2-structures and isometric G2-structures on 3-Sasakian 7-manifolds. Our examples give non-trivial deformed G2-instantons with obstructed deformation theory and situations where the moduli space of deformed G2-instantons has components of different dimensions. We finally study the relation between our examples and a Chern–Simons type functional which has deformed G2-instantons as critical points. |
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