Pith. sign in

REVIEW 1 cited by

The rational cohomology of the mapping class group vanishes in its virtual cohomological dimension

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 1108.0622 v3 pith:PFUE2RG3 submitted 2011-08-02 math.GT math.ATmath.GR

Thomas Church , Benson Farb , Andrew Putman This is my paper · ORCID
classification math.GTmath.ATmath.GR
keywords groupclasscohomologicaldimensionmappingvirtualbroadduschord
verification ladder T0 review T1 audit T2 compute T3 formal

Signed reviews

No signed human review yet.

0 comments
read the original abstract

Let Mod_g be the mapping class group of a genus g >= 2 surface. The group Mod_g has virtual cohomological dimension 4g-5. In this note we use a theorem of Broaddus and the combinatorics of chord diagrams to prove that H^{4g-5}(Mod_g; Q) = 0.

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