ScalingStacks

Remark 3.9 . [04B0]

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Remark 3.9.

If the Fukaya category is defined over ℤ\mathbb{Z}, we can require all holonomy factors to be integer valued. The positivity condition requires all the contributions to ∂𝒞=L−L′\partial\mathcal{C}=L-L^{\prime} to have the same orientation sign. This has the amusing consequence that all holonomy factors associated with (n−1)(n-1)-dimensional moduli spaces contributing to 𝒞\mathcal{C}, must in fact all be +1+1. Intuitively, this means there is a unique such holomorphic curve through any generic point of LL, and the boundary evaluation of universal family to LL is transverse.

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