English

On free global spectra

Algebraic Topology 2023-05-19 v2

Abstract

In this note we define and study free global spectra: global spectra with non-trivial geometric fixed points only at the trivial group. We show that free global spectra often do not exist, and when they do, their homotopy groups satisfy strong divisibility conditions. As an application, we show that the universal free GG-spectrum EG+EG_+ does not admit a global refinement.

Keywords

Cite

@article{arxiv.2212.13775,
  title  = {On free global spectra},
  author = {Luca Pol},
  journal= {arXiv preprint arXiv:2212.13775},
  year   = {2023}
}

Comments

the paper contains an error

R2 v1 2026-06-28T07:54:44.125Z