Communications in Analysis and Geometry
Volume 25 (2017)
$G_2$–instantons, associative submanifolds and Fueter sections
Pages: 847 – 893
We give sufficient conditions for a family of $G_2$–instantons to be “spontaneously” be born out of a Fueter section of a bundle of moduli spaces of ASD instantons over an associative submanifold. This phenomenon is one of the key difficulties in defining the conjectural $G_2$ Casson invariant proposed by Donaldson and Thomas.
Paper received on 15 January 2013.