### arXiv:2009.06788 [math.DG]AbstractReferencesReviewsResources

#### The asymptotic geometry of $\rm G_2$-monopoles

Daniel Fadel, Ákos Nagy, Gonçalo Oliveira

Published 2020-09-14Version 1

This article investigates the asymptotics of $\rm G_2$-monopoles. First, we find that when the underlying $\rm G_2$-manifold has polynomial volume growth strictly greater than $r^{7/2}$, finite intermediate energy monopoles with bounded curvature have finite mass. The second main result restricts to the case when the underlying $\rm G_2$-manifold is asymptotically conical. In this situation, we deduce sharp decay estimates and that the connection converges, along the end, to a pseudo-Hermitian--Yang--Mills over the asymptotic cone.

**Comments:**44 pages. Comments are very welcome

arXiv:1709.03433 [math.DG] (Published 2017-09-11)

Asymptotic Geometry of the Hitchin Metric

arXiv:2206.11883 [math.DG] (Published 2022-06-23)

Asymptotic Geometry of the Moduli Space of Rank Two Irregular Higgs Bundles over the Projective Line

arXiv:1810.01554 [math.DG] (Published 2018-10-03)

Exponential Decay for the Asymptotic Geometry of the Hitchin Metric