2025/03/18 by Crabb, M. C.
#54H25 #55M20 #55R80 #55S15 #Algebraic Topology (math.AT) #FOS: Mathematics
paper · doi:10.48550/arxiv.2503.14039
Results of Macdonald and Dold from the 1960s and '70s expressing the Lefschetz numbers of symmetric powers of a self-map of a compact ENR in terms of the Lefschetz numbers of iterates of the map are extended using the notion of a Lefschetz-polynomial functor. Configuration spaces and Borsuk-Ulam symmetric products, as well as symmetric powers, are treated as examples of the general method.