Vanishing lines for modules over the motivic Steenrod algebra

Drew Heard; Achim Krause

Vanishing lines for modules over the motivic Steenrod algebra

Algebraic Topology 2018-02-28 v2

Authors: Drew Heard , Achim Krause

Abstract

We study criteria for freeness and for the existence of a vanishing line for modules over certain Hopf subalgebras of the motivic Steenrod algebra over $\mathrm{Spec}(\mathbb{C})$ at the prime 2. These turn out to be determined by the vanishing of certain Margolis homology groups in the quotient Hopf algebra $\mathcal{A}/\tau$ .

Keywords

motivic Steenrod algebra Hopf subalgebras vanishing line module freeness Margolis homology quotient Hopf algebra prime 2

Cite

@article{arxiv.1702.03683,
  title  = {Vanishing lines for modules over the motivic Steenrod algebra},
  author = {Drew Heard and Achim Krause},
  journal= {arXiv preprint arXiv:1702.03683},
  year   = {2018}
}

Comments

Version to appear (with minor typesetting changes) in New York Journal of Mathematics

Vanishing lines for modules over the motivic Steenrod algebra

Abstract

Keywords

Cite

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