The optimality conjecture for the folding symplectic embeddings
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.
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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