G_2-instantons on non-compact cohomogeneity one manifolds

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Izar Alonso Lorenzo, Rutgers University
Fine Hall 314

G_2-instantons are a special kind of connections on a Riemannian 7-manifold, analogues of anti-self-dual connections in 4 dimensions. I will start this talk by introducing G_2-instantons and their significance, and then describe new families of SU(2)^2-invariant G_2-instantons in cohomogeneity one manifolds with a coclosed G_2-structure.