Stabilized symplectic embeddings of higher-dimensional ellipsoids

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.

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