English

A criterion for slope 1 homological stability

K-Theory and Homology 2024-07-02 v1

Abstract

We show that for nice enough N\mathbb{N}-graded E2\mathbb{E}_2-algebras, a diagonal vanishing line in E1\mathbb{E}_1-homology of gives rise to slope 11 homological stability. This is an integral version of a result by Kupers-Miller-Patzt.

Keywords

Cite

@article{arxiv.2407.01124,
  title  = {A criterion for slope 1 homological stability},
  author = {Mikala Ørsnes Jansen and Jeremy Miller},
  journal= {arXiv preprint arXiv:2407.01124},
  year   = {2024}
}

Comments

7 pages. Comments welcome

R2 v1 2026-06-28T17:24:42.591Z