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arXiv · 2503.12075

The large mass limit of $G_2$ and Calabi-Yau monopoles

Yang Li
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Abstract

We develop a structure theory for the limit of $SU(2)$ $G_2$-monopoles (resp. Calabi-Yau monopoles) on a principal $SU(2)$-bundle over an asymptotically conical $G_2$-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 $G_2$-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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Yang Li. 2025-03-15. The large mass limit of $G_2$ and Calabi-Yau monopoles. https://arxiv.org/abs/2503.12075

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