ScalingStacks

Conjecture 3.39 . [04CE]

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Conjecture 3.39.

Fix a compact almost Calabi-Yau manifold XX. The Solomon functional is well defined for graded immersed unobstructed Lagrangians in the same Db​F​u​k​(X)D^{b}Fuk(X) class of a reference Lagrangian L0L_{0}, satisfying

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    The change of reference Lagrangian formula (22) holds,

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    Gauge equivalent bounding cochains give rise to the same functional,

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    Cohomologous choices of H​F0HF^{0} generators α,β\alpha,\beta give rise to the same functional,

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    The first variation formula (21) holds for any 1-parameter exact isotopy of unobstructed Lagrangians.

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