Abstract
We classify G2-instantons admitting SU(2)^3-symmetries, and construct a new family of examples on the spinor bundle of the 3-sphere, equipped with the asymptotically conical, co-homogeneity one G2-metric of Bryant-Salamon. We also show that outside of the SU(2)^3-invariant examples, any other G2-instanton on this metric with the same asymptotic behaviour must have obstructed deformations.
| Original language | English |
|---|---|
| Article number | 149 |
| Number of pages | 17 |
| Journal | Journal of Geometric Analysis |
| Volume | 34 |
| Issue number | 5 |
| Early online date | 27 Mar 2024 |
| DOIs | |
| Publication status | Published - 31 Mar 2024 |
Funding
Special thanks to Simon Salamon, Gonçalo Oliveira, Lorenzo Foscolo, Jason Lotay, and Johannes Nordström for their helpful comments and discussions. The first author was funded by the Royal Society, through a studentship supported by the Research Fellows Enhancement Award 2017 RGF-EA-180171, and the EPSRC through the UCL Research Associates Award EP-W522636-1. The second author was funded by the EPSRC Studentship 2106787 and the Simons Collaboration on Special Holonomy in Geometry, Analysis and Physics #488631.
| Funders | Funder number |
|---|---|
| Royal Society | RGF-EA-180171 |
| Engineering and Physical Sciences Research Council | EP-W522636-1, 2106787, 488631 |
Keywords
- math.DG
- G2 manifolds
- 58D27
- 58E15
- Gauge theory
- Co-homogeneity one
- Instantons
- 53C07
ASJC Scopus subject areas
- Geometry and Topology