Concordance of $Z_p\times\Z_p$ actions on $S^4$
Geometric Topology
2014-10-01 v1
Abstract
We consider locally linear Z_p x Z_p actions on the four-sphere. We present simple constructions of interesting examples, and then prove that a given action is concordant to its linear model if and only if a single surgery obstruction taking to form of an Arf invariant vanishes. We discuss the behavior of this invariant under various connected-sum operations, and conclude with a brief discussion of the existence of actions which are not concordant to their linear models.
Cite
@article{arxiv.math/0511212,
title = {Concordance of $Z_p\times\Z_p$ actions on $S^4$},
author = {Michael McCooey},
journal= {arXiv preprint arXiv:math/0511212},
year = {2014}
}