PreprintCC BY 4.0arXiv
Uniqueness of tangent cones with immersed special Legendrian links
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 ℂ3 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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BibTeX
@misc{li2026uniqueness,
title = {{Uniqueness of tangent cones with immersed special Legendrian links}},
author = {Yang Li},
howpublished = {arXiv},
year = {2026},
month = oct,
doi = {10.48550/arxiv.2610.10790},
eprint = {2610.10790},
archivePrefix = {arXiv},
url = {https://arxiv.org/abs/2610.10790},
note = {CC BY 4.0},
}
RIS
TY - UNPB
TI - Uniqueness of tangent cones with immersed special Legendrian links
AU - Yang Li
PY - 2026
DA - 2026/10/07
PB - arXiv
DO - 10.48550/arxiv.2610.10790
UR - https://arxiv.org/abs/2610.10790
AB - 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 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.
ER -