English

Transchromatic phenomena in the equivariant slice spectral sequence

Algebraic Topology 2024-03-04 v1

Abstract

In this paper, we prove a transchromatic phenomenon for Hill--Hopkins--Ravenel and Lubin--Tate theories. This establishes a direct relationship between the equivariant slice spectral sequences of height-hh and height-(h/2)(h/2) theories. As applications of this transchromatic phenomenon, we prove periodicity and vanishing line results for these theories.

Cite

@article{arxiv.2403.00741,
  title  = {Transchromatic phenomena in the equivariant slice spectral sequence},
  author = {Lennart Meier and XiaoLin Danny Shi and Mingcong Zeng},
  journal= {arXiv preprint arXiv:2403.00741},
  year   = {2024}
}

Comments

47 pages, 7 figures. Comments welcome!

R2 v1 2026-06-28T15:06:18.259Z