Resumen de The Einstein-Weyl Equations, Scattering Maps, and Holomorphic Disks

Claude LeBrun, L. J. Mason

• We show that conformally compact, space-time oriented, globally hyperbolic, Lorentzian Einstein-Weyl $3$-manifolds are in natural one-to-one correspondence with orientation-reversing diffeomorphisms of the complex projective line. The proof hinges on a holomorphic-disk analog of Hitchin's mini-twistor correspondence.