Convex plumbings in closed hyperbolic 4-manifolds
Geometric Topology
2021-09-28 v1
Abstract
We show that every plumbing of disc bundles over surfaces whose genera satisfy a simple inequality may be embedded as a convex submanifold in some closed hyperbolic four-manifold. In particular its interior has a geometrically finite hyperbolic structure that covers a closed hyperbolic four-manifold.
Cite
@article{arxiv.2003.08434,
title = {Convex plumbings in closed hyperbolic 4-manifolds},
author = {Bruno Martelli and Stefano Riolo and Leone Slavich},
journal= {arXiv preprint arXiv:2003.08434},
year = {2021}
}
Comments
18 pages, 11 figures