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 well-known Weinstein manifolds which are the Milnor fibers of ADE-type, and Weinstein manifolds constructed by taking the end connected sums of Milnor fibers of A-type. In order to distinguish them as Weinstein manifolds, we study how to measure the number of connected components of wrapped Fukaya categories.