GÖKOVA GEOMETRY / TOPOLOGY PROCEEDINGS

Published in Proceedings of Gökova Geometry-Topology Conference 2012
Title Instantons in G2 manifolds from J-holomorphic curves in coassociative submanifolds
Authors Naichung Conan Leung, Xiaowei Wang and Ke Zhu
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 G2 manifolds, instantons, J-holomorphic curves, coassociative submanifolds
Pages89-110
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