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.

34 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

References in corpus (3)

• Altering symplectic manifolds by homologous recombination
• Homological mirror symmetry for Milnor fibers of simple singularities
• Lefschetz fibrations on cotangent bundles and some plumbings

Cited by in corpus (1)

• Lefschetz fibrations on cotangent bundles and some plumbings