$G_2$-instantons on noncompact $G_2$-manifolds: results and open problems

Jason Lotay; Goncalo Oliveira

$G_2$-instantons on noncompact $G_2$-manifolds: results and open problems

Differential Geometry 2019-01-01 v1 Mathematical Physics math.MP

Authors: Jason Lotay , Goncalo Oliveira

Abstract

We survey the known existence and non-existence results for $G_2$ -instantons on non-compact cohomogeneity-1 $G_2$ -manifolds and their consequences, including an explicit example of a family of $G_2$ -instantons where bubbling, removable singularities and conservation of energy phenomena occur. We also describe several open problems for future research.

Keywords

g2-instantons noncompact g2-manifolds cohomogeneity-1 bubbling removable singularities open problems

Cite

@article{arxiv.1812.11867,
  title  = {$G_2$-instantons on noncompact $G_2$-manifolds: results and open problems},
  author = {Jason Lotay and Goncalo Oliveira},
  journal= {arXiv preprint arXiv:1812.11867},
  year   = {2019}
}

Comments

To appear in a forthcoming volume of the Fields Institute Communications, entitled "Lectures and Surveys on G2 manifolds and related topics"

$G_2$-instantons on noncompact $G_2$-manifolds: results and open problems

Abstract

Keywords

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