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arXiv · 2506.13438

Nielsen numbers of $n$-valued maps on infra-solvmanifolds

Karel Dekimpe·Lore De Weerdt
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Abstract

We derive a formula for the Nielsen number $N(f)$ for every $n$-valued self-map $f$ of an infra-solvmanifold. To do this, we express $N(f)$ in terms of Nielsen coincidence numbers of single-valued maps on solvmanifolds, and derive a formula for Nielsen coincidence numbers in that setting.

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Karel Dekimpe, Lore De Weerdt. 2025-06-16. Nielsen numbers of $n$-valued maps on infra-solvmanifolds. https://doi.org/10.1016/j.topol.2026.109789

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