2024/09/26 by Dekimpe, Karel, De Weerdt, Lore · 1 citation
#Algebraic Topology (math.AT) #FOS: Mathematics
paper · doi:10.48550/arxiv.2409.17794
For an n-valued self-map f of a closed manifold X, we prove an averaging formula for the Reidemeister trace of f in terms of the Reidemeister coincidence traces of single-valued maps between finite orientable covering spaces of X. We then derive analogous formulas for the Lefschetz and Nielsen numbers of f. In the special case where X is an infra-nilmanifold, we obtain explicit formulas for the Lefschetz and Nielsen numbers of any n-valued map on X.