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Instantons in G2 manifolds from J-holomorphic curves in coassociative submanifolds

Conan Leung The Chinese University of Hong Kong Xiaowei Wang Rutgers University Ke Zhu Harvard University

Differential Geometry mathscidoc:1608.10078

Proceedings of 19th Gokova Geometry-Topology conference, 89-110, 2014
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.
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@inproceedings{conan2014instantons,
  title={Instantons in G2 manifolds from J-holomorphic curves in coassociative submanifolds},
  author={Conan Leung, Xiaowei Wang, and Ke Zhu},
  url={http://archive.ymsc.tsinghua.edu.cn/pacm_paperurl/20160828213949036963517},
  booktitle={Proceedings of 19th Gokova Geometry-Topology conference},
  pages={89-110},
  year={2014},
}
Conan Leung, Xiaowei Wang, and Ke Zhu. Instantons in G2 manifolds from J-holomorphic curves in coassociative submanifolds. 2014. In Proceedings of 19th Gokova Geometry-Topology conference. pp.89-110. http://archive.ymsc.tsinghua.edu.cn/pacm_paperurl/20160828213949036963517.
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