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Mar 23, 2018 at 14:46 comment added Sam Lisi I'm not sure if this is along the lines you have in mind, but Biran and Cornea discuss a conjectural dichotomy between "wide" and "narrow" Lagrangians. Their conjecture, if I understood correctly, is that the Floer homology of L with itself, when defined, is either 0 or is the homology of L (where this is dependent on the choice of coefficients). If this is correct (and I don't know the state of the conjecture), then it would give a rough indication that $e_0$ and $e_k$ are the interesting ones in your family.
Dec 8, 2017 at 11:01 history edited user74900 CC BY-SA 3.0
spell fix
Dec 7, 2017 at 19:14 history asked user74900 CC BY-SA 3.0