${\rm G}_2$-instantons on generalised Kummer constructions
Differential Geometry
2014-11-11 v3
Abstract
In this article we introduce a method to construct -instantons on -manifolds arising from Joyce's generalised Kummer construction. The method is based on gluing ASD instantons over ALE spaces to flat bundles on -orbifolds of the form . We use this construction to produce non-trivial examples of -instantons.
Cite
@article{arxiv.1109.6609,
title = {${\rm G}_2$-instantons on generalised Kummer constructions},
author = {Thomas Walpuski},
journal= {arXiv preprint arXiv:1109.6609},
year = {2014}
}
Comments
44 pages; published version