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Given an arbitrary graph and non-negative integers for each vertex of , let be the Weinstein 4-manifold obtained by plumbing copies of according to this graph, where is a surface of genus . We compute the wrapped Fukaya category of (with bulk parameters) using Legendrian surgery extending our previous work  where it was assumed that for all and was a tree. The resulting algebra is recognized as the (derived) multiplicative preprojective algebra (and its higher genus version) defined by Crawley-Boevey and Shaw . Along the way, we find a smaller model for the internal DG-algebra of Ekholm and Ng  associated to 1-handles in the Legendrian surgery presentation of Weinstein 4-manifolds which might be of independent interest.
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Tolga Etgü, Yankı Lekili, Fukaya categories of plumbings and multiplicative preprojective algebras. Quantum Topol. 10 (2019), no. 4 pp. 777–813