Smooth structures on non-orientable four-manifolds and free involutions
Geometric Topology
2014-08-15 v2 Differential Geometry
Abstract
In this paper, we investigate existence of inequivalent smooth structures on closed smooth non-orientable 4-manifolds building upon results of Akbulut, Cappell-Shaneson, Fintushel-Stern, Gompf, and Stolz. We add to the number of known constructions and provide new examples of exotic manifolds that are obtained as an application of Gluck twists to the standard smooth structure. Inspection of the smooth structure on the oriented 2-covers yields existence results of orientation-reversing exotic free involutions.
Keywords
Cite
@article{arxiv.1306.2586,
title = {Smooth structures on non-orientable four-manifolds and free involutions},
author = {Rafael Torres},
journal= {arXiv preprint arXiv:1306.2586},
year = {2014}
}
Comments
Paper has been rewritten; results and references have been added