English

On the $v_1$ periodicity of the Moore space

Algebraic Topology 2019-02-20 v1

Abstract

We present progress in trying to verify a long-standing conjecture by Mark Mahowald on the v1v_{1}-periodic component of the classical Adams spectral sequence for a Moore space MM. The approach we follow was proposed by John Palmieri in his work on the stable category of AA-comodules. We improve on Palmieri's work by working with the endomorphism ring of MM - End(M)End(M) thus resolving some of the initial difficulties of his approach and formulating a conjecture of our own that would lead to Mahowald's formulation.

Keywords

Cite

@article{arxiv.1902.06902,
  title  = {On the $v_1$ periodicity of the Moore space},
  author = {Lyuboslav Panchev},
  journal= {arXiv preprint arXiv:1902.06902},
  year   = {2019}
}