Stabilized symplectic embeddings of higher-dimensional ellipsoids
Symplectic Geometry
2026-02-16 v2
Abstract
We provide a lower bound for the embedding capacity of higher-dimensional symplectic ellipsoids, formulated in terms of the Lagrangian capacity of ellipsoids. Our approach relies on examining the Borman--Sheridan class of a Weinstein neighborhood of a suitable monotone Lagrangian torus, using Tonkonog's string topology-based computation of the gravitational descendants of the torus.
Cite
@article{arxiv.2512.08720,
title = {Stabilized symplectic embeddings of higher-dimensional ellipsoids},
author = {Shah Faisal},
journal= {arXiv preprint arXiv:2512.08720},
year = {2026}
}
Comments
41 pages, 3 figures. Several citations were updated, and a number of minor typos were corrected. arXiv admin note: text overlap with arXiv:2504.13076