Branched covering simply-connected 4-manifolds
Geometric Topology
2022-11-02 v2 Symplectic Geometry
Abstract
We prove that any closed simply-connected smooth 4-manifold is 16-fold branched covered by a product of an orientable surface with the 2-torus, where the construction is natural with respect to spin structures. In particular this solves Problem 4.113(C) in Kirby's list. We also discuss analogous results for other families of 4-manifolds with infinite fundamental groups.
Cite
@article{arxiv.2102.01043,
title = {Branched covering simply-connected 4-manifolds},
author = {David Auckly and R. Inanc Baykur and Roger Casals and Sudipta Kolay and Tye Lidman and Daniele Zuddas},
journal= {arXiv preprint arXiv:2102.01043},
year = {2022}
}
Comments
11 pages. Updated to reflect solution to Kirby Problem 4.113(C)