On the other hand, we prove that there are many Weinstein manifolds whose wrapped Fukaya categories are exact Calabi-Yau despite the fact the fact there is no quasi-dilation inĪa r X i v. As an application, we prove the homological essentiality of Lagrangian spheres in many odd-dimensional smooth affine varieties with exact Calabi-Yau wrapped Fukaya categories. In particular, any Weinstein manifold admitting a quasi-dilation in the sense of Seidel-Solomon has an exact Calabi-Yau wrapped Fukaya category. In the degree one equivariant symplectic cohomology Under the cyclic open-closed map constructed by Ganatra, an exact Calabi-Yau structure on Imposes strong restrictions on its symplectic topology. , the existence of an exact Calabi-Yau structure on its wrapped Fukaya category An exact Calabi-Yau structure, originally introduced by Keller, is a special kind of smooth Calabi-Yau structures in the sense of Kontsevich-Vlassopoulos.
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