Exotic Stein fillings with arbitrary fundamental group
Geometric Topology
2018-07-11 v2 Algebraic Geometry
Complex Variables
Symplectic Geometry
Abstract
For any finitely presentable group , we show the existence of an isolated complex surface singularity link which admits infinitely many exotic Stein fillings such that the fundamental group of each filling is isomorphic to . We also provide an infinite family of closed exotic smooth four-manifolds with the fundamental group such that each member of the family admits a non-holomorphic Lefschetz fibration over the two-sphere.
Cite
@article{arxiv.1212.1743,
title = {Exotic Stein fillings with arbitrary fundamental group},
author = {Anar Akhmedov and Burak Ozbagci},
journal= {arXiv preprint arXiv:1212.1743},
year = {2018}
}
Comments
13 pages, Substantially revised and extended from the previous version. The proofs have been streamlined. One new result, Theorem 2, on exotic Lefschetz fibrations added