Cyclic Group Actions on Contractible 4-Manifolds
Geometric Topology
2017-08-29 v2 Algebraic Topology
Abstract
There are known infinite families of Brieskorn homology 3-spheres which can be realized as boundaries of smooth contractible 4-manifolds. In this paper we show that free periodic actions on these Brieskorn spheres do not extend smoothly over a contractible 4-manifold. We give a new infinite family of examples in which the actions extend locally linearly but not smoothly.
Cite
@article{arxiv.1412.5877,
title = {Cyclic Group Actions on Contractible 4-Manifolds},
author = {Nima Anvari and Ian Hambleton},
journal= {arXiv preprint arXiv:1412.5877},
year = {2017}
}
Comments
20 pages: final version, to appear in Geometry & Topology