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Nonlinear Gravitons, Null Geodesics, and Holomorphic Disks

Abstract:

We develop a global twistor correspondence for pseudo-Riemannian conformal structures of signature (++--) with self-dual Weyl curvature. Near the conformal class of the standard indefinite product metric on S^2 x S^2, there is an infinite-dimensional moduli space of such conformal structures, and each of these has the surprising global property that its null geodesics are all periodic. Each such conformal structure arises from a family of holomorphic disks in CP_3 with boundary on some totall...

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Institution:
University of Oxford
Division:
MPLS
Department:
Mathematical Institute
Role:
Author
Journal:
DUKE MATHEMATICAL JOURNAL
Volume:
136
Issue:
2
Pages:
205-273
Publication date:
2005-04-28
DOI:
ISSN:
0012-7094
Source identifiers:
19886
Language:
English
Keywords:
Pubs id:
pubs:19886
UUID:
uuid:cec0a52f-ed11-41de-a1f6-b6ec954aee74
Local pid:
pubs:19886
Deposit date:
2012-12-19

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