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arXiv · 2407.20400

Lens spaces as dual complexes of Log Calabi-Yau pairs

Morgan V Brown
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Abstract

We demonstrate the construction of singular log Calabi-Yau $4$-folds such that the dual complex of the boundary is homeomorphic to a Lens space from a log Calabi-Yau surface with action of a finite cyclic group. We explicitly obtain the Lens spaces $L(3,1)$, $L(5,1)$, and $L(5,2)$ in this way.

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Morgan V Brown. 2024-07-29. Lens spaces as dual complexes of Log Calabi-Yau pairs. https://arxiv.org/abs/2407.20400

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