What was already known
The b2 = 0 minimal class VII case had been classified. For b2 > 0, global shells were known under special divisor and curve criteria and in the b2 = 1 case; the general positive-b2 conjecture remained (manuscript introduction, pp. 1–3).
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
Resolves the Global Spherical Shell conjecture for the remaining minimal class VII surfaces.
Limitations
The theorem assumes minimality and positive second Betti number. Its deformation and topology corollaries are separate consequences.
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