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arXiv · 2608.19700

Calibrated submanifolds, adiabatic limit, and gradient graphs

Yang Li
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Abstract

We study the compactness question for certain special Lagrangians in semiflat SYZ fibrations (resp. associative submanifolds in Donaldson's proposal of collapsing coassociative K3 fibrations), and give some criterion for when gradient graphs emerge from the adiabatic limit. This gives a partial converse to the Donaldson-Scaduto proposal.

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Yang Li. 2026-08-20. Calibrated submanifolds, adiabatic limit, and gradient graphs. https://arxiv.org/abs/2608.19700

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