Subscribe to Events

Abstract: G2-manifolds are compact, Ricci-flat manifolds in dimension 7. G2-instantons are certain interesting principal bundle connections on G2-manifolds. The first manifold examples were constructed by Joyce, the first instanton examples by Walpuski. I will explain the manifold construction and the instanton construction. In the beginning I will introduce G2-geometry, no prior knowledge of G2 needed! Time permitting, I will explain the weighted Hölder norms that have since been applied in several other gluing constructions, for example several generalisations of these G2-constructions which I may mention.