Complex structure on the six-sphere: contested AI-assisted claim

Modular family of two-tori construction

Model / AI: Claude

A 108-page manuscript attributed publicly by Levent Alpöge to Claude constructs a compact complex threefold claimed to be diffeomorphic to the six-sphere. The paper itself identifies a conflict with Campana–Demailly–Peternell and argues why their obstruction does not apply.

Source read 2026-09-08. Read the manuscript's summary, theorem and discussion of the conflicting literature, plus the independent registry's provenance notes. No peer review, formalization or independent validation was found.

• Paper — Manuscript
• Context — Provenance and caveat record