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arXiv · 2610.10790

Uniqueness of tangent cones with immersed special Legendrian links

Yang Li
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Abstract

Under the assumption of integrability of the smooth Jacobi fields and a condition on the intersection pattern of the link, we prove uniqueness of special Lagrangian tangent cones in $\mathbb{C}^3$ whose links are compact immersed special Legendrian surfaces with transverse double points. The proof is based on a discrete Lojasiewicz type inequality, which comes from a gluing obstruction mechanism.

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Yang Li. 2026-10-07. Uniqueness of tangent cones with immersed special Legendrian links. https://arxiv.org/abs/2610.10790

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