A generalization of Chakiris' fibrations

Abstract

Chakiris [5] constructed examples of holomorphic Lefschetz fibrations of genus 2 with separating singular fibers and proved a classification theorem for such fibrations in the late 1970's. We generalize some parts of his construction topologically to give new examples of hyperelliptic Lefschetz fibrations of arbitrary genus with separating singular fibers which include homeomorphic but non-diffeomorphic 4-manifolds.