The large mass limit of G₂ and Calabi-Yau monopoles

2025/03/15 by Li, Yang · 1 citation
#Differential Geometry (math.DG) #FOS: Mathematics

paper · doi:10.48550/arxiv.2503.12075

Abstract

We develop a structure theory for the limit of SU(2) G₂-monopoles (resp. Calabi-Yau monopoles) on a principal SU(2)-bundle over an asymptotically conical G₂-manifolds (resp. Calabi-Yau 3-folds) as the mass parameter tends to infinity, while the topologial data for the bundle stays fixed. We show how to extract a singular abelian G₂-monopole (resp. Calabi-Yau monopole) with Dirac singularity along a calibrated cycle in the large mass limit, and we prove an energy identity for monopole bubbles.

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• The large mass limit of monopoles: abelian limits and Dirac singularities

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