Not evaluated
Donaldson's hypersymplectic deformation conjecture (family 341)
The gist
In its release of October 6, 2026, OpenAI presents a manuscript, from an unreleased internal model, on Donaldson's hypersymplectic deformation conjecture.
DiscoverIA status on October 12, 2026: not evaluated, meaning no third-party evaluation found.
AI draft, not reviewedWhat has not been reviewed?
Text written by an AI (DiscoverIA pipeline), on . The status and its sources come from the registry; only the explanatory text has not been reviewed. A reported error is corrected, then the text is reviewed.
Cite this entry
A single status snapshot since Oct 12, 2026: a citation always points to a dated snapshot.
Cite snapshot 1, Oct 12, 2026
APA citation with the dated link
BibTeX @misc, key discoveria-oai-fam-341-donaldsons-hypersymplectic-deformation-r1
@misc{discoveria-oai-fam-341-donaldsons-hypersymplectic-deformation-r1,
author = {{DiscoverIA}},
title = {Donaldson's hypersymplectic deformation conjecture (family 341)},
howpublished = {DiscoverIA registry, entry oai-fam-341-donaldsons-hypersymplectic-deformation},
note = {Status “Not evaluated”, snapshot 1, recorded on October 12, 2026. New result},
year = {2026},
url = {https://discoveria.ai/entry/oai-fam-341-donaldsons-hypersymplectic-deformation#releve-1},
urldate = {2026-10-12}
}Dated link opens this snapshot in the history
To understand ≈ 20 s reading time, estimated
What it changes
If the manuscript held up, it would show, going by its title, how to deform hypersymplectic four-manifolds into hyperkähler triples. A four-manifold is a space with four dimensions that may be curved; "hypersymplectic" and "hyperkähler" are two kinds of geometric structure on such a space.
What remains unclear
No Lean file is supplied for this family and no third-party assessment has been read, so only the text of the manuscript allows the proof to be judged. The sources read do not describe the argument itself.
For experts
Sources, method, key facts, status history, report an error
Status
Not evaluated
Recorded on · github.com · README.md
Step 1 of 4 on the scale: not evaluated. Next step: under review.
- Announced
- Recordednot evaluated
- nextTo follow
What this status means
Source reading : Source read word for word (level 3 of 3)
The result is declared neither right nor wrong.
To move to “Under review”: a public review under way. To “Peer reviewed”: a journal publication or a review by named experts.
Sources
- Main sourcegithub.com · CONTENTS.mdlink only, reading not recorded
- Repositorygithub.com · Deforming-hypersymplectic…link only, reading not recorded
Method
The openai/math repository (section "Differential geometry") holds a single manuscript, "Deforming hypersymplectic four-manifolds to hyperkähler triples", dated October 7, 2026. The repository's history records a revision the same day that clarifies the prescribed cohomology-class criterion used in the deformation argument, removes an unnecessary cone-comparison citation and updates the companion-paper citation. DiscoverIA status: not evaluated, meaning that no third-party evaluation has been found in the sources read. Set on October 12, 2026 from github.com (page read, quotation checked word for word: “Not all have accompanying Lean formalizations.”).
Limits
DiscoverIA has not checked this result itself.
Key facts
- Claimed by
- OpenAI (unreleased internal model)
announced on Oct 6, 2026 - Nature
- new result
- Field
- Mathematics (Differential geometry)
- In openai/math
- family 341, section “Differential geometry”, 1 manuscript dated Oct 7, 2026
- Lean proof
- none supplied
- Checked by
- no verifier identified
- Sources
- 2 : 2 links only
- This entry
- AI draft, not reviewed
Status history
Only one observation so far.
- 01
First observation:Not evaluatedCurrent status
Family with no Lean proof supplied. No third-party evaluation read.
Source: github.comread word for word
An observation is added; none is ever erased.
In the same set
openai/math: 719 manuscripts in 372 families from an unreleased internal model · entry 335 of 372, by family number
- Not evaluated : Yau's uniformization conjecture (family 338)
- Not evaluated : Katok's entropy rigidity conjecture (family 339)
- Not evaluated : Counterexample to the nearby Lagrangian conjecture (family 340)
- Not evaluated : Donaldson's hypersymplectic deformation conjecture (family 341)
- Not evaluated : Donaldson's tamed-to-compatible conjecture (family 342)
- Not evaluated : Sharp symplectic ball-packing criteria in higher dimensions (family 343)
- Not evaluated : The metric Blaschke conjecture (family 344)
Report an error or suggest a source
Thank you, your message was sent.
Sending failed. Try again, or write to contact@discoveria.ai.
Is your result listed?What each status requires, correcting this entry, replying to it.