Nielsen periodic point theory on infra-nilmanifolds
Dynamical Systems
2015-08-19 v1 Algebraic Topology
Abstract
In this paper, we expand certain aspects of Nielsen periodic point theory from tori and nilmanifolds to infra-nilmanifolds. We show that infra-nilmanifolds are essentially reducible to the GCD and essentially toral. With these structural properties in mind, we develop a method to compute the full Nielsen-Jiang number . We also determine for which maps it holds that , for all .
Keywords
Cite
@article{arxiv.1508.04345,
title = {Nielsen periodic point theory on infra-nilmanifolds},
author = {Gert-Jan Dugardein},
journal= {arXiv preprint arXiv:1508.04345},
year = {2015}
}