Evaluation maps and transfers for free loop spaces II
Algebraic Topology
2021-09-30 v1
Abstract
In our previous paper, we constructed and studied a functorial extension of the evaluation map to transfers along finite covers. In this paper, we show that this induces a natural evaluation map on the full subcategory of the homotopy category of spectra consisting of -completed classifying spectra of finite groups. To do this, we leverage the close relationship between this full subcategory and the Burnside category of fusion systems.
Cite
@article{arxiv.2109.13988,
title = {Evaluation maps and transfers for free loop spaces II},
author = {Sune Precht Reeh and Tomer M. Schlank and Nathaniel Stapleton},
journal= {arXiv preprint arXiv:2109.13988},
year = {2021}
}