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arXiv · 2512.08720

Stabilized symplectic embeddings of higher-dimensional ellipsoids

Shah Faisal
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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.

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Shah Faisal. 2025-12-09. Stabilized symplectic embeddings of higher-dimensional ellipsoids. https://arxiv.org/abs/2512.08720

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