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arXiv · 2506.06229

On the higher topological complexity of manifolds with abelian fundamental group

N. Cadavid-Aguilar·D. Cohen·J. González·S. Hughes·L. Vandembroucq
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Abstract

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

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N. Cadavid-Aguilar, D. Cohen, J. González, S. Hughes, L. Vandembroucq. 2025-06-06. On the higher topological complexity of manifolds with abelian fundamental group. https://doi.org/10.1007/s41468-026-00231-5

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