Cyclic Group Actions on Contractible 4-Manifolds

Autor: Anvari, Nima, Hambleton, Ian
Rok vydání: 2014
Předmět:
Zdroj: Geom. Topol. 20 (2016) 1127-1155
Druh dokumentu: Working Paper
DOI: 10.2140/gt.2016.20.1127
Popis: 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.
Comment: 20 pages: final version, to appear in Geometry & Topology
Databáze: arXiv