Involutions on tori with codimension one fixed point set
Geometric Topology
2007-11-20 v2
Abstract
The standard P. A. Smith theory of p-group actions on spheres, disks, and euclidean spaces is extended to the case of p-group actions on tori (i.e., products of circles) and coupled with topological surgery theory to give a complete topological classification, valid in all dimensions, of the locally linear, orientation reversing, involutions on tori with fixed point set of codimension one.
Cite
@article{arxiv.0710.2612,
title = {Involutions on tori with codimension one fixed point set},
author = {Allan L. Edmonds},
journal= {arXiv preprint arXiv:0710.2612},
year = {2007}
}
Comments
Corrects error in previous lemma 3.2, adds details for the case when the fixed point set is connected