Department of Mathematics2024-11-1020180046-575510.1007/s10711-017-0289-y2-s2.0-85030842342http://dx.doi.org/10.1007/s10711-017-0289-yhttps://hdl.handle.net/20.500.14288/17385Let G be a finitely presentable group. We provide an infinite family of homeomorphic but pairwise non-diffeomorphic, symplectic but non-complex closed 4-manifolds with fundamental group G such that each member of the family admits a Lefschetz fibration of the same genus over the two-sphere. As a corollary, we also show the existence of a contact 3-manifold which admits infinitely many homeomorphic but pairwise non-diffeomorphic Stein fillings such that the fundamental group of each filling is isomorphic to G. Moreover, we observe that the contact 3-manifold above is contactomorphic to the link of some isolated complex surface singularity equipped with its canonical contact structure.MathematicsExotic stein fillings with arbitrary fundamental groupJournal Article1572-9168437122700015Q46149