Instantons in G2 manifolds from J-holomorphic curves in coassociative submanifolds
arXiv:1303.6728
Abstract
In G2 manifolds, 3-dimensional associative submanifolds (instantons) play a role similar to J-holomorphic curves in symplectic geometry. In [21], instantons in G2 manifolds were constructed from regular J-holomorphic curves in coassociative submanifolds. In this exposition paper, after reviewing the background of G2 geometry, we explain the main ingredients in the proofs in [21]. We also construct new examples of instantons.
23 pages. To appear in Proceedings of Gokova Geometry-Topology Conference 2012