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arXiv · 2412.19219

Uniqueness in the local Donaldson-Scaduto conjecture

Gorapada Bera·Saman Habibi Esfahani·Yang Li
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Abstract

The local Donaldson-Scaduto conjecture predicts the existence and uniqueness of a special Lagrangian pair of pants with three asymptotically cylindrical ends in the Calabi-Yau 3-fold $X \times \mathbb{R}^2$, where $X$ is an ALE hyperk\"ahler 4-manifold of $A_2$-type. The existence of this special Lagrangian has previously been proved. In this paper, we prove a uniqueness theorem, showing that no other special Lagrangian pair of pants satisfies this conjecture.

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BibTeXRIS

Gorapada Bera, Saman Habibi Esfahani, Yang Li. 2024-12-26. Uniqueness in the local Donaldson-Scaduto conjecture. https://arxiv.org/abs/2412.19219

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