A comparison of norm maps
Algebraic Topology
2022-11-15 v1
Abstract
We present a spectrum-level version of the norm map in equivariant homotopy theory based on the algebraic construction in work of Greenleess-May. We show that this new norm map is same as the construction in work Hill-Hopkins-Ravenel on the Kervaire invariant problem. Our comparison of the two norm maps gives a conceptual understanding of the choices inherent in the definition of the multiplicative norm map.
Cite
@article{arxiv.1201.6277,
title = {A comparison of norm maps},
author = {Anna Marie Bohmann},
journal= {arXiv preprint arXiv:1201.6277},
year = {2022}
}
Comments
11 pages; with appendix by Anna Marie Bohmann and Emily Riehl