English

K-theory and polynomial functors

K-Theory and Homology 2022-05-20 v2 Algebraic Topology

Abstract

We show that the algebraic K-theory space of stable infinity-categories is canonically functorial in polynomial functors. As a consequence, we obtain a new proof of B\"okstedt's calculation of THH(Fp)\mathrm{THH}(\mathbb{F}_p).

Keywords

Cite

@article{arxiv.2102.00936,
  title  = {K-theory and polynomial functors},
  author = {Clark Barwick and Saul Glasman and Akhil Mathew and Thomas Nikolaus},
  journal= {arXiv preprint arXiv:2102.00936},
  year   = {2022}
}

Comments

v2: added new section on THH(F_p) and other minor corrections

R2 v1 2026-06-23T22:43:45.845Z