Topological complexity, fibrations and symmetry
Algebraic Topology
2011-09-27 v4
Abstract
We show how locally smooth actions of compact Lie groups on a manifold can be used to obtain new upper bounds for the topological complexity , in the sense of Farber. We also obtain new bounds for the topological complexity of finitely generated torsion-free nilpotent groups.
Cite
@article{arxiv.1104.2755,
title = {Topological complexity, fibrations and symmetry},
author = {Mark Grant},
journal= {arXiv preprint arXiv:1104.2755},
year = {2011}
}
Comments
Final version, to appear in Topology and its Applications