Monotonicity conjecture for the ellipsoidal superpotential count
Monotonicity conjecture for the ellipsoidal superpotential count
For each degree , let denote the count associated with the ellipsoidal superpotential for with parameter . Monotonicity conjecture. The count is nondecreasing as a function of . This conjecture concerns the variation of the holomorphic-curve count with the ellipsoid parameter; the source presents it as a closely related open question, and no resolution is supplied.
Sources & referencesView supporting material
Primary source
Kyler Siegel, “A tree formula for the ellipsoidal superpotential of the complex projective plane”, arXiv:2404.14707 (2024).
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