Pith. sign in

REVIEW 1 cited by

New infinite families in the stable homotopy groups of spheres

Not yet reviewed by Pith; the record is open.

Re-run · record.json Download PDF Read on arXiv ↗

This paper has not been read by Pith yet. Machine review is queued; the pith claim, tier, and objections will appear here once it completes.

SPECIMEN: schema-true, not a live event

T0 review · schema-true

One-sentence machine reading of the paper's core claim.

pith:XXXXXXXX · record.json · timestamp

arxiv 2404.10062 v3 pith:AHPTSMQA submitted 2024-04-15 math.AT

Prasit Bhattacharya , Irina Bobkova , J.D. Quigley This is my paper · ORCID
classification math.AT
keywords familiesinfinitestablegroupshomotopymathrmperiodicspheres
verification ladder T0 review T1 audit T2 compute T3 formal

Signed reviews

No signed human review yet.

0 comments
abstract

We identify seven new $192$-periodic infinite families of elements in the $2$-primary stable homotopy groups of spheres. Although their Hurewicz image is trivial for topological modular forms, they remain nontrivial after $\mathrm{T}(2)$- as well as $\mathrm{K}(2)$-localization. We also obtain new information about $2$-torsion and $2$-divisibility of some of the previously known $192$-periodic infinite families in the stable stems.

Discussion (0). Continue with ORCID to comment.

Forward citations

Cited by 1 Pith paper

Reviewed papers in the Pith corpus that reference this work. Sorted by Pith novelty score. Full citation record

  1. On periodic families in the stable stems of height two

    math.AT 2025-06 unverdicted novelty 7.0 of 10

    Theorem A establishes 125 nonzero v_2^32-periodic families in the 2-primary stable stems, 50 new, all vanishing in TMF yet detected by the Atkin-Lehner fixed point spectrum J_0(3).

Pith tools