Abstract
For gauge groups and we classify invariant –instantons for homogeneous coclosed –structures on Aloff–Wallach spaces . As a consequence, we give examples where –instantons can be used to distinguish between different strictly nearly parallel –structures on the same Aloff–Wallach space. In addition to this, we find that while certain –instantons exist for the strictly nearly parallel –structure on , no such –instantons exist for the –Sasakian one. As a further consequence of the classification, we produce examples of some other interesting phenomena, such as irreducible –instantons that, as the structure varies, merge into the same reducible and obstructed one and –instantons on nearly parallel –manifolds that are not locally energy-minimizing.
Citation
Gavin Ball. Goncalo Oliveira. "Gauge theory on Aloff–Wallach spaces." Geom. Topol. 23 (2) 685 - 743, 2019. https://doi.org/10.2140/gt.2019.23.685
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