Pith. sign in

REVIEW 1 cited by

New series in the Johnson cokernels of the mapping class groups of surfaces

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 1012.2175 v3 pith:SHKA257L submitted 2010-12-10 math.RT math.ATmath.GRmath.GT

Naoya Enomoto , Takao Satoh This is my paper · ORCID
classification math.RTmath.ATmath.GRmath.GT
keywords classcokernelgroupsjohnsonmappingsurfacescokernelscomponents
verification ladder T0 review T1 audit T2 compute T3 formal

Signed reviews

No signed human review yet.

0 comments
read the original abstract

In the present paper, we study the Sp-module structure of the cokernel of the Johnson homomorphism of the mapping class groups of surfaces. We detect the Sp-irreducible components with highest weight [1^k] (and [k]) in the cokernel. We also show that the multiplicities of them is equal to one.

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. One-dimensionality of certain cocycles for the detection of the Johnson cokernel

    math.AT 2025-07 accept novelty 4.0 of 10

    The vertex-graded 1-cocycles of the ribbon graph complex RGC1 are one-dimensional and spanned by the graph G1 corresponding to the Enomoto-Satoh trace.

Pith tools