English

An algebraic model for rational excisive functors

Algebraic Topology 2025-11-27 v2

Abstract

We provide a new proof of the rational splitting of excisive endofunctors of spectra as a product of their homogeneous layers independent of rational Tate vanishing. We utilise the analogy between endofunctors of spectra and equivariant stable homotopy theory and as a consequence, we obtain an algebraic model for rational excisive functors.

Keywords

Cite

@article{arxiv.2412.12281,
  title  = {An algebraic model for rational excisive functors},
  author = {David Barnes and Magdalena Kędziorek and Niall Taggart},
  journal= {arXiv preprint arXiv:2412.12281},
  year   = {2025}
}

Comments

v1: comments welcome! v2: Accepted version

R2 v1 2026-06-28T20:37:50.729Z