A $v_1$-banded vanishing line for the mod 2 Moore spectrum

Kevin Chang

A $v_1$-banded vanishing line for the mod 2 Moore spectrum

Algebraic Topology 2023-08-25 v2

Authors: Kevin Chang

Abstract

The mod 2 Moore spectrum $C(2)$ is the cofiber of the self-map $2: \mathbb{S} \to \mathbb{S}$ . Building on work of Burklund, Hahn, and Senger, we prove that above a line of slope $\frac{1}{5}$ , the Adams spectral sequence for $C(2)$ collapses at its $E_5$ -page and characterize the surviving classes. This completes the proof of a result of Mahowald, announced in 1970, but never proven.

Keywords

mod 2 moore spectrum adams spectral sequence vanishing line cofiber stable homotopy

Cite

@article{arxiv.2009.02834,
  title  = {A $v_1$-banded vanishing line for the mod 2 Moore spectrum},
  author = {Kevin Chang},
  journal= {arXiv preprint arXiv:2009.02834},
  year   = {2023}
}

Comments

23 pages, 7 figures

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