English

On the tmf-Hurewicz image of $A_1$

Algebraic Topology 2023-04-05 v1

Abstract

Let A1A_1 be any spectrum in the class of finite spectra whose mod-2 cohomology is isomorphic to A(1)\mathcal{A}(1) as a module over the subalgebra A(1)\mathcal{A}(1) of the Steenrod algebra; let tmftmf be the connective spectrum of topological modular forms. In this paper, we prove that the tmftmf-Hurewicz image of A1A_1 is surjective.

Keywords

Cite

@article{arxiv.1912.06892,
  title  = {On the tmf-Hurewicz image of $A_1$},
  author = {Viet-Cuong Pham},
  journal= {arXiv preprint arXiv:1912.06892},
  year   = {2023}
}