English

The duality resolution at $n=p=2$

Algebraic Topology 2025-02-06 v1

Abstract

Working at the prime 22 and chromatic height 22, we construct a finite resolution of the homotopy fixed points of Morava EE-theory with respect to the subgroup G21\mathbb{G}_2^1 of the Morava stabilizer group. This is an upgrade of the finite resolution of the homotopy fixed points of EE-theory with respect to the subgroup S21\mathbb{S}_2^1 constructed in work of Goerss-Henn-Mahowald-Rezk, Beaudry and Bobkova-Goerss.

Keywords

Cite

@article{arxiv.2502.03141,
  title  = {The duality resolution at $n=p=2$},
  author = {Agnès Beaudry and Irina Bobkova and Hans-Werner Henn},
  journal= {arXiv preprint arXiv:2502.03141},
  year   = {2025}
}
R2 v1 2026-06-28T21:33:24.916Z