Exotic families of symplectic manifolds with Milnor fibers of $ADE$-type

Abstract

In this paper, we give infinitely many diffeomorphic families of different Weinstein manifolds. The diffeomorphic families consist of the Milnor fibers of $ADE$-type, and a Weinstein manifold constructed by gluing a cotangent bundle to the Milnor fiber of $A$-type. The last-mentioned members of the families have decomposable wrapped Fukaya categories.

arXiv comment34 pages, 9 figures. The second version contains a new section (Section 6). The new section discusses diffeomorphic, but not symplectomorphic families of Weinstein manifolds constructed by taking end connected sums of Milnor fibers of $A_n$-type

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