Uniqueness conjecture for monotone special Lagrangian torus fibres

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Let ωi\omega_i be the sequence of symplectic forms considered in the paper, let B0B_0 be the base of the special Lagrangian fibration, and let Ui⊆B0\mathcal{U}_i\subseteq B_0 be a chamber. Monotone special Lagrangian uniqueness conjecture. For i≫1i\gg 1, there exists a unique monotone special Lagrangian torus fibre in each chamber of Ui\mathcal{U}_i. This predicts chamberwise uniqueness of monotone special Lagrangian torus fibres in the relevant large-ii regime; the supplied text gives no resolution status.

References

Primary source

Yu-Shen Lin, “Enumerative Geometry of Del Pezzo Surfaces”, arXiv:2005.08681 (2024).

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