Counterexamples to stable-Morse and strong Arnold fixed-point bounds
What the paper claims, in its own words
Disproves stable-Morse lower bounds for nondegenerate Hamiltonian fixed points: on simply connected closed Kähler manifolds of real dimension 22, the deficit below the stable Morse number is unbounded. A separate Hamiltonian diffeomorphism of the complex quadric threefold has exactly three fixed points, fewer than the four critical points required of every smooth function.
The plain-language explainer for this entry is still coming.
The original papers (5)
- Hamiltonian Fixed Points Below the Stable Morse Number in Dimension Twenty-Two (PDF, opens in a new tab) October 5, 2026
- Sharpness of the Cyclic Integral Floer Bound Below the Stable Morse Number (PDF, opens in a new tab) October 5, 2026
- Hamiltonian Fixed Points Below the Stable Morse Number (PDF, opens in a new tab) October 5, 2026
- A nondegenerate counterexample to the Morse-number Arnold bound (PDF, opens in a new tab) September 23, 2026
- Three fixed points on the symplectic quadric threefold (PDF, opens in a new tab) September 23, 2026 Formal proof listed