Dold indices and symmetric powers
Algebraic Topology
2025-03-19 v1
Abstract
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.
Cite
@article{arxiv.2503.14039,
title = {Dold indices and symmetric powers},
author = {M. C. Crabb},
journal= {arXiv preprint arXiv:2503.14039},
year = {2025}
}