What was already known
De Cataldo, Hausel, and Migliorini established P = W in rank two. Later work proved the coprime GL_n statement in arbitrary rank and genus and fixed-determinant prime-rank cases; the composite-rank fixed-determinant full-cohomology case remained (manuscript introduction, History and the fixed-determinant problem, p. 3).
AI involvement
OpenAI credits itself as manuscript author and states that its internal frontier model produced the results in this release. Individual human input is not detailed enough to establish task-only autonomy.
OpenAI is named as author on the manuscript, and its release attributes the results to an internal frontier model. The individual human input is not detailed enough to establish autonomy.
Importance
Completes the fixed-determinant P = W filtration comparison in every coprime rank when combined with prior prime-rank results.
Limitations
The claim is for smooth curves of genus at least two, coprime degree, fixed determinant, trace-free moduli, and rational cohomology.
Technical verification
Reported is the default when evidence for a higher level is insufficient. The OpenAI-authored manuscript reports and argues the result, but the reviewed sources do not document a completed check of the full assessed claim.
Human understanding
Few is the default when evidence for a higher level is insufficient. No named person is documented as explaining the central argument for this assessed contribution.
Correction and publication history
Primary manuscript, attribution, and prior-work review for non-notifying local inclusion.
Read this published revision