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arXiv · 1303.6728

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

Naichung Conan Leung·Xiaowei Wang·Ke Zhu
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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.

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BibTeXRIS

Naichung Conan Leung, Xiaowei Wang, Ke Zhu. 2013-03-27. Instantons in G2 manifolds from J-holomorphic curves in coassociative submanifolds. https://arxiv.org/abs/1303.6728

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