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

Published 23 Apr 2024 in math.AT | (2404.14889v1)

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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