Work

On the higher topological complexity of manifolds with abelian fundamental group

Year: 2026

Type: article

Abstract: We study the higher (or sequential) topological complexity $$\operatorname {TC}_s$$ TC s of manifolds with abelian fundamental group. We give sufficient conditions for $$\operatorname {TC}_s$$ TC s 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.

Source: Journal of Applied and Computational Topology

DOI: 10.1007/s41468-026-00231-5

Authors: N. Cadavid-Aguilar, D. Cohen, J. González, S. Hughes, L. Vandembroucq