On the May Spectral Sequence at the prime 2

DOI10.1016/J.AIM.2022.108606arXiv2010.14754WikidataQ114211433 ScholiaQ114211433MaRDI QIDQ6352420

Publication date: 28 October 2020

Abstract: We make a conjecture about the whole

E_{2}

page of the May spectral sequence in terms of generators and relations and we prove it in a subalgebra which covers a large range of dimensions. We show that the

E_{2}

page plays a universal role in the study of Massey products in commutative DGAs. We conjecture that the

E_{2}

page is nilpotent free and also prove it in this subalgebra. We compute all the

d_{2}

differentials of the generators in the conjecture and construct maps of spectral sequences which allow us to explore Adams vanishing line theorem to compute differentials in the May spectral sequence.

Mathematics Subject Classification ID

Gröbner bases; other bases for ideals and modules (e.g., Janet and border bases) (13P10) Adams spectral sequences (55T15) Massey products (55S30) Stable homotopy of spheres (55Q45) Spectral sequences in algebraic topology (55Txx)

This page was built for publication: On the May Spectral Sequence at the prime 2

Report a bug (only for logged in users!)Click here to report a bug for this page (MaRDI item Q6352420)

 Click here to report a bug for this page (MaRDI item Q6352420)

</a>