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The spectral diameter of a symplectic ellipsoid

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arxiv 2408.07214 v1 pith:V7FQT3DM submitted 2024-08-13 math.SG

Habib Alizadeh , Marcelo S. Atallah , Dylan Cant This is my paper · ORCID
classification math.SG
keywords diameterspectralsymplecticellipsoidballballsboundcapacity
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The spectral diameter of a symplectic ball is shown to be equal to its capacity; this result upgrades the known bound by a factor of two and yields a simple formula for the spectral diameter of a symplectic ellipsoid. We also study the relationship between the spectral diameter and packings by two balls.

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  1. Hamiltonian linking and Symplectic packing

    math.SG 2025-07 conditional novelty 6.0 of 10

    Hamiltonian unlinked subsets of a symplectic ball satisfy the spectral capacity packing inequality c(K1) + c(K2) <= a, and violating that inequality forces Hamiltonian linking.

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