New examples of $G_2$-instantons on ${\mathbb{R}}^4\times S^3$

Izar Alonso

We study the existence of $\text{SU}(2{)}^2$-invariant $G_2$-instantons on ${\mathbb{R}}^4\times S^3$ with the coclosed $G_2$-structures found on [arXiv:2209.02761]. We find an explic…