We associate to a quiver and a subquiver (Q, F ) a stopped Weinstein manifold X whose Legendrian attaching link is a singular Legendrian unknot link Λ. We prove that the relative Ginzburg algebra of (Q, F ) is quasi-isomorphic to the Chekanov-Eliashberg dg-algebra of Λ. It follows that the Chekanov-Eliashberg dg-algebra of Λ relative to its boundary dg-subalgebra, and the Orlov functor associated to the partially wrapped Fukaya category of X both admit a strong relative smooth Calabi-Yau structure.

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We introduce a type of surgery decomposition of Weinstein manifolds that we call simplicial decompositions. The main result of this paper is that the Chekanov-Eliashberg dg-algebra of the attaching spheres of a Weinstein manifold satisfies a descent (cosheaf) property with respect to a simplicial decomposition. Simplicial decompositions generalize the notion of Weinstein connected sum and we show that there is a one-to-one correspondence (up to Weinstein homotopy) between simplicial decompositions and so-called good sectorial covers. As an application, we explicitly compute the Chekanov-Eliashberg dg-algebra of the Legendrian attaching spheres of a plumbing of copies of cotangent bundles of spheres of dimension at least three according to any plumbing quiver. We show by explicit computation that this Chekanov-Eliashberg dg-algebra is quasi-isomorphic to the Ginzburg dg-algebra of the plumbing quiver.M S C 2 0 2 0 53D35, 53D40, 53D42 (primary) Contents