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

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

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Claude LeBrun, SUNY at Stony Brook
Fine Hall 314

This talk will 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.