The einstein-weyl equations, scattering maps, and holomorphic disks

Claude LeBrun; L. J. Mason

doi:10.4310/MRL.2009.v16.n2.a7

The einstein-weyl equations, scattering maps, and holomorphic disks

Claude LeBrun
, L. J. Mason

Mathematics

University of Oxford

Research output: Contribution to journal › Article › peer-review

12 Scopus citations

Abstract

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.

Original language	English
Pages (from-to)	291-301
Number of pages	11
Journal	Mathematical Research Letters
Volume	16
Issue number	2
DOIs	https://doi.org/10.4310/MRL.2009.v16.n2.a7
State	Published - Mar 2009

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10.4310/MRL.2009.v16.n2.a7

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title = "The einstein-weyl equations, scattering maps, and holomorphic disks",

abstract = "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.",

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AB - 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.

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JO - Mathematical Research Letters

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The einstein-weyl equations, scattering maps, and holomorphic disks

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