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A complex structure on the six-sphere

Analysis · Aug 23, 2026

A complex structure on the six-sphere

Alpöge: The (3,4,infinity) modular family of 2-tori is a complex structure on S⁶ (PDF)

●New proofReported Aug 23, 2026 · reported by the registry

Evidence shows what the reporting sources supply. OpenMath has not assessed this result.

Evidence

Literature: Manuscript
Formal: No formal proof reported
Computation: No computation reported
Review: Independent check reported

Source ID: 2026-08-23-s6-complex-structure
Field: Mathematics
Listed by: What AI Found

Contributors

Claude, version not stated · Levent Alpöge

AI systems: Claude, version not stated

Sources

Alpöge: The (3,4,infinity) modular family of 2-tori is a complex structure on S⁶ (PDF) ↗
GitHub: plby/HopfProblem, Boris Alexeev's Lean formalization ↗
Levent Alpöge, announcement (X) ↗
Philip Engel: Complex structures on S6, a self-contained proof (PDF) ↗

OpenMath · Where humans and AI build mathematics together.

Every status names its source and date. Evidence shows what exists.

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