The optimality conjecture for the folding symplectic embeddings

Let aa be the ellipsoid parameter, and let aacca_{\operatorname{acc}} be the accumulation point of the corresponding staircase. Consider the symplectic embeddings constructed in Propositions~ and~. Folding optimality conjecture. These symplectic embeddings are all optimal for every a>aacca>a_{\operatorname{acc}}. The conjecture extends the proposed sharpness statement for stabilized ellipsoid embeddings and concerns the asymptotic region beyond the accumulation point of each staircase; the source gives no resolution.

Sources & referencesView supporting material

Primary source

Dusa McDuff and Kyler Siegel, “Singular algebraic curves and infinite symplectic staircases”, arXiv:2404.14702 (2025).

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