MathDBStability conjecture for special Lagrangians in Fukaya categories
Stability conjecture for special Lagrangians in Fukaya categories
Let a complex structure determine a Fukaya category, and let special Lagrangians be the relevant geometric objects in that category. Stability conjecture. Complex structures are stability conditions for Fukaya categories, and special Lagrangians are stable. This is described as a folklore conjecture motivated by the work of Thomas and Yau; the supplied text gives no resolution status.
Sources & referencesView supporting material
Primary source
Yu-Shen Lin, “Enumerative Geometry of Del Pezzo Surfaces”, arXiv:2005.08681 (2024).
Additional references
2 papers in this index state this conjecture (2001–2020). The statement above is taken from the most recent of them; the others are arXiv:math/0104196.
Progress summary
Nothing recorded yet. Refresh searches the literature and the public web for attempts on this problem, and writes the first summary here.
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