The optimality conjecture for the folding symplectic embeddings
Let be the ellipsoid parameter, and let 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 . 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.
References
Primary source
Dusa McDuff and Kyler Siegel, “Singular algebraic curves and infinite symplectic staircases”, arXiv:2404.14702 (2025).
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