What was already known
Nearby Lagrangian rigidity was established in selected low-dimensional and special cotangent-bundle cases, while the unrestricted conjecture predicted Hamiltonian isotopy for every closed exact Lagrangian.
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
Disproves the unrestricted nearby Lagrangian conjecture even when the Lagrangian is diffeomorphic to the base.
Limitations
The obstruction concerns embedding in the cotangent bundle, not a different abstract smooth type. Hamiltonian isotopies are compactly supported.
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; technical verification remains Reported.
Read this published revision