The Einstein-Weyl Equations, Scattering Maps, and Holomorphic Disks
classification
🧮 math.DG
gr-qcmath.CVmath.SG
keywords
correspondenceeinstein-weylanalogcompactconformallydiffeomorphismsdisksequations
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We show that conformally compact, globally hyperbolic, Lorentzian Einstein-Weyl 3-manifolds are in natural one-to-one correspondence with orientation-reversing diffeomorphisms of the 2-sphere. The proof hinges on a holomorphic-disk analog of Hitchin's mini-twistor correspondence.
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