Manuscript OpenAI@2026-10-07 · OpenAI.tex · remark · 6a931f8f
Remark: Family 342. Donaldson's tamed-to-compatible conjecture
Family claims › Differential geometry · lines 2224–2229
OpenAI@2026-10-07#rem:oai-342
Proves Donaldson's tamed-to-compatible conjecture: every smooth almost complex structure on a closed four-manifold that is tamed by a symplectic form admits a compatible symplectic form. The almost complex structure stays fixed; the form's cohomology class may change.
The authors are OpenAI. This companion does not verify the proof. The claim is not a theorem of the Enter series and not a premise of any registered sheet. It does not close O.1. O.1 stays NOT_CLOSED. It is not a de Sitter state and not the QdS external-leg scheme. No quantum coefficient is admitted. No compilation is asserted.
Nearby in this section
- remark: Remark: Family 333. Smooth isometric immersions of surfaces into R 4
- remark: Remark: Family 334. A smooth surface metric with no local immersion in R 3
- remark: Remark: Family 335. Gromov's integral scalar-curvature inequality
- remark: Remark: Family 336. Spectral scalar curvature and codimension-two width
- remark: Remark: Family 337. Cartan–Hadamard isoperimetry and CAT (0) fillings
- remark: Remark: Family 338. Yau's uniformization conjecture
- remark: Remark: Family 339. Katok's entropy rigidity conjecture
- remark: Remark: Family 340. A counterexample to the nearby Lagrangian conjecture