On the higher topological complexity of manifolds with abelian fundamental group
Algebraic Topology
2026-03-03 v1
Abstract
We study the higher (or sequential) topological complexity of manifolds with abelian fundamental group. We give sufficient conditions for to be non-maximal in both the orientable and non-orientable cases. In combination with cohomological lower bounds, we also obtain some exact values for certain families of manifolds.
Cite
@article{arxiv.2506.06229,
title = {On the higher topological complexity of manifolds with abelian fundamental group},
author = {N. Cadavid-Aguilar and D. Cohen and J. González and S. Hughes and L. Vandembroucq},
journal= {arXiv preprint arXiv:2506.06229},
year = {2026}
}