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arXiv · 2606.02885

Special Lagrangian submanifolds and circle collapse on K3

Sébastien Picard·Federico Trinca
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Abstract

We consider $K3$ surfaces collapsing to a three-dimensional affine base. We show that certain affine lines on the base lift to degenerating sequences of special Lagrangian two-spheres and tori in the collapsing $K3$ surface. In particular, we construct special Lagrangian two-spheres connecting pairs of Taub-NUT bubbles. These examples fit into the broader program of reconstructing special submanifolds from graphs and combinatorial data on a collapsed affine limit.

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Sébastien Picard, Federico Trinca. 2026-06-01. Special Lagrangian submanifolds and circle collapse on K3. https://arxiv.org/abs/2606.02885

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