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

Karel Dekimpe; Lore De Weerdt

doi:10.1016/j.topol.2026.109789

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

Algebraic Topology 2026-03-26 v3

Authors: Karel Dekimpe , Lore De Weerdt

View on arXiv ↗ PDF ↗ DOI ↗

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.

Keywords

Nielsen numbers n-valued maps infra-solvmanifolds Nielsen coincidence numbers algebraic topology

Cite

@article{arxiv.2506.13438,
  title  = {Nielsen numbers of $n$-valued maps on infra-solvmanifolds},
  author = {Karel Dekimpe and Lore De Weerdt},
  journal= {arXiv preprint arXiv:2506.13438},
  year   = {2026}
}

Comments

26 pages

Related papers

View all related →