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arXiv · 2404.14889

An averaging formula for Nielsen numbers of affine n-valued maps on infra-nilmanifolds

Karel Dekimpe·Lore De Weerdt
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Abstract

In [8,9], the authors developed a nice formula to compute the Nielsen number of a self-map on an infra-nilmanifold. For the case of nilmanifolds this formula was extended to $n$-valued maps in [4]. In this paper, we extend these results further and establish the averaging formula to compute the Nielsen number of any $n$-valued affine map on an infra-nilmanifold.

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BibTeXRIS

Karel Dekimpe, Lore De Weerdt. 2024-04-23. An averaging formula for Nielsen numbers of affine n-valued maps on infra-nilmanifolds. https://doi.org/10.1007/s00574-024-00417-4

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