2023/04/10 by Charlotte Deconinck, Deconinck, Charlotte, Karel Dekimpe +1 · 2 citations
Mathematics · #Homotopy and Cohomology in Algebraic Topology #Advanced Topics in Algebra #Advanced Algebra and Geometry
paper · pdf · doi:10.48550/arxiv.2304.04438
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.