Pith. sign in

REVIEW 1 cited by

Homotopical operadic calculus in positive characteristic

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 2310.13095 v2 pith:SVNGWL6V submitted 2023-10-19 math.AT math.CT

Brice Le Grignou , Victor Roca i Lucio This is my paper · ORCID
classification math.ATmath.CT
keywords characteristictheorypositivemethodsoperadsresultssettingaction
verification ladder T0 review T1 audit T2 compute T3 formal
0 comments
read the original abstract

Algebraic operads provide a powerful tool to understand the homotopy theory of the types of (co)algebras they encode. So far, the principal results and methods that this theory provides were only available in characteristic zero. The reason is that operads carry an action of all the symmetric groups, whose representation theory becomes much more involved in positive characteristic. The goal of this paper is to extend these results and methods to a positive characteristic setting. We solve the main problems that appear in this new setting by using the notion of a quasi-planar cooperad as the building block of the theory.

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. Obstruction sequences to homotopy equivalences

    math.AT 2025-09 conditional novelty 6.0 of 10

    Gauge-theoretic obstruction sequences characterize homotopy equivalences between algebras over properads and colored operads, with applications to minimal models over general fields and in etale cohomology.

Pith tools