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

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

2008-06-23

arxiv.org/abs/0806.3761v2

Mathematics

Differential Geometry

11 pages, LaTeX2e. Revised version strengthens result and completes proof

Scientific paper

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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