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dc.contributor.author |
Calderbank, D.M.J. |
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dc.date.accessioned |
2019-02-11T16:18:28Z |
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dc.date.available |
2019-02-11T16:18:28Z |
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dc.date.issued |
2014 |
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dc.identifier.citation |
Selfdual 4-Manifolds, Projective Surfaces, and the Dunajski-West Construction / D.M.J. Calderbank // Symmetry, Integrability and Geometry: Methods and Applications. — 2014. — Т. 10. — Бібліогр.: 25 назв. — англ. |
uk_UA |
dc.identifier.issn |
1815-0659 |
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dc.identifier.other |
2010 Mathematics Subject Classification: 53A30; 32L25; 37K25; 37K65; 53C25; 70S15; 83C20; 83C60 |
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dc.identifier.other |
DOI:10.3842/SIGMA.2014.035 |
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dc.identifier.uri |
http://dspace.nbuv.gov.ua/handle/123456789/146816 |
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dc.description.abstract |
I present a construction of real or complex selfdual conformal 4-manifolds (of signature (2,2) in the real case) from a natural gauge field equation on a real or complex projective surface, the gauge group being the group of diffeomorphisms of a real or complex 2-manifold. The 4-manifolds obtained are characterized by the existence of a foliation by selfdual null surfaces of a special kind. The classification by Dunajski and West of selfdual conformal 4-manifolds with a null conformal vector field is the special case in which the gauge group reduces to the group of diffeomorphisms commuting with a vector field, and I analyse the presence of compatible scalar-flat Kähler, hypercomplex and hyperkähler structures from a gauge-theoretic point of view. In an appendix, I discuss the twistor theory of projective surfaces, which is used in the body of the paper, but is also of independent interest. |
uk_UA |
dc.description.sponsorship |
This paper is a contribution to the Special Issue on Progress in Twistor Theory. The full collection is available
at http://www.emis.de/journals/SIGMA/twistors.html.
I am extremely grateful to Maciej Dunajski and Simon West for introducing me to their stimulating
work, and for several helpful comments. I also thank the EPSRC for financial support in
the form of an Advanced Research Fellowship. |
uk_UA |
dc.language.iso |
en |
uk_UA |
dc.publisher |
Інститут математики НАН України |
uk_UA |
dc.relation.ispartof |
Symmetry, Integrability and Geometry: Methods and Applications |
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dc.title |
Selfdual 4-Manifolds, Projective Surfaces, and the Dunajski-West Construction |
uk_UA |
dc.type |
Article |
uk_UA |
dc.status |
published earlier |
uk_UA |
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