Preprint in the OpenAI Math release
Deforming hypersymplectic four-manifolds to hyperkähler triples
OpenAI
Abstract
Every smooth normalized positive triple of closed two-forms on a closed connected oriented four-manifold admits a smooth deformation, with each cohomology class fixed, to a hyperkähler triple. This resolves Donaldson's hypersymplectic deformation conjecture.
open until 1 Jan 2028
est. 50% chance this result is independently verified by the end of 2027.
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