English

Lifting $N_\infty$ operads from conjugacy data

Algebraic Topology 2023-11-08 v2 Group Theory

Abstract

We isolate a class of groups -- called lossless groups -- for which homotopy classes of GG-NN_\infty operads are in bijection with certain restricted transfer systems on the poset of conjugacy classes Sub(G)/G\operatorname{Sub}(G)/G.

Keywords

Cite

@article{arxiv.2209.06798,
  title  = {Lifting $N_\infty$ operads from conjugacy data},
  author = {Scott Balchin and Ethan MacBrough and Kyle Ormsby},
  journal= {arXiv preprint arXiv:2209.06798},
  year   = {2023}
}

Comments

v2: updates in response to referee report, accepted version in Tunisian Journal of Mathematics; 24 pages, 16 figures. v1: 22 pages, 13 figures; comments welcome!

R2 v1 2026-06-28T01:18:22.375Z