Stabilized symplectic embeddings of higher-dimensional ellipsoids

TL;DR

This paper establishes a lower bound for embedding capacities of high-dimensional symplectic ellipsoids using advanced topological methods involving Lagrangian capacities and string topology.

Contribution

It introduces a novel lower bound for symplectic ellipsoid embeddings based on Lagrangian capacities and string topology techniques.

Findings

Provides a new lower bound for symplectic embedding capacity

Uses Borman--Sheridan class and Weinstein neighborhood analysis

Employs Tonkonog's string topology computations

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.