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arXiv · 2304.04438

Nielsen numbers of affine n-valued maps on nilmanifolds

Charlotte Deconinck·Karel Dekimpe
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Abstract

A nilmanifold is a quotient N\G of a connected and simply connected nilpotent Lie group G by a uniform lattice N. In this paper we determine the Reidemeister and Nielsen number of affine n-valued maps on such a nilmanifold. These are maps for which a given lifting to G splits into n affine maps of the Lie group G. In order to obtain this result we also establish a way of computing the number of generalized twisted conjugacy classes on finitely generated torsion free nilpotent groups.

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Charlotte Deconinck, Karel Dekimpe. 2023-04-10. Nielsen numbers of affine n-valued maps on nilmanifolds. https://arxiv.org/abs/2304.04438

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