The Einstein-Weyl Equations, Scattering Maps, and Holomorphic Disks
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.
| Main Authors: | , |
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| Format: | Journal article |
| Language: | English |
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2008
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| _version_ | 1826268442901086208 |
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| author | LeBrun, C Mason, L |
| author_facet | LeBrun, C Mason, L |
| author_sort | LeBrun, C |
| collection | OXFORD |
| description | 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. |
| first_indexed | 2024-03-06T21:09:44Z |
| format | Journal article |
| id | oxford-uuid:3dba69cc-ec6d-45fc-945e-2e98e4e58c74 |
| institution | University of Oxford |
| language | English |
| last_indexed | 2024-03-06T21:09:44Z |
| publishDate | 2008 |
| record_format | dspace |
| spelling | oxford-uuid:3dba69cc-ec6d-45fc-945e-2e98e4e58c742022-03-26T14:21:10ZThe Einstein-Weyl Equations, Scattering Maps, and Holomorphic DisksJournal articlehttp://purl.org/coar/resource_type/c_dcae04bcuuid:3dba69cc-ec6d-45fc-945e-2e98e4e58c74EnglishSymplectic Elements at Oxford2008LeBrun, CMason, LWe 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. |
| spellingShingle | LeBrun, C Mason, L The Einstein-Weyl Equations, Scattering Maps, and Holomorphic Disks |
| title | The Einstein-Weyl Equations, Scattering Maps, and Holomorphic Disks |
| title_full | The Einstein-Weyl Equations, Scattering Maps, and Holomorphic Disks |
| title_fullStr | The Einstein-Weyl Equations, Scattering Maps, and Holomorphic Disks |
| title_full_unstemmed | The Einstein-Weyl Equations, Scattering Maps, and Holomorphic Disks |
| title_short | The Einstein-Weyl Equations, Scattering Maps, and Holomorphic Disks |
| title_sort | einstein weyl equations scattering maps and holomorphic disks |
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