2020/07/22 by Jason D. Lotay, Lotay, Jason D., Gonçalo Oliveira +1
Mathematics · #Geometric Analysis and Curvature Flows #Geometry and complex manifolds #Geometric and Algebraic Topology
paper · pdf · doi:10.48550/arxiv.2007.11304
In this note, we provide the first non-trivial examples of deformed G2-instantons, originally called deformed Donaldson-Thomas connections. As a consequence, we see how deformed G2-instantons can be used to distinguish between nearly parallel G2-structures and isometric G2-structures on 3-Sasakian 7-manifolds. Our examples give non-trivial deformed G2-instantons with obstructed deformation theory and situations where the moduli space of deformed G2-instantons has components of different dimensions. We finally study the relation between our examples and a Chern-Simons type functional which has deformed G2-instantons as critical points.