Instantons in G2 manifolds from J-holomorphic curves in coassociative submanifolds
Differential Geometry
2013-03-28 v1 Mathematical Physics
math.MP
Symplectic Geometry
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.
Keywords
Cite
@article{arxiv.1303.6728,
title = {Instantons in G2 manifolds from J-holomorphic curves in coassociative submanifolds},
author = {Naichung Conan Leung and Xiaowei Wang and Ke Zhu},
journal= {arXiv preprint arXiv:1303.6728},
year = {2013}
}
Comments
23 pages. To appear in Proceedings of Gokova Geometry-Topology Conference 2012