The asymptotic geometry of ${\mathrm{G}}_2$-monopoles

Daniel Fadel, Ákos Nagy, Gonçalo Oliveira

This article investigates the asymptotics of ${\mathrm{G}}_2$-monopoles. First, we prove that when the underlying ${\mathrm{G}}_2$-manifold is nonparabolic (i.e. admits a positive Green's func…