Linear field equations on self-dual spaces
1980 ◽
Vol 370
(1741)
◽
pp. 173-191
◽
Keyword(s):
The Self
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In a Riemannian context, a description is given of the Penrose correspondence between solutions of the anti-self-dual zero rest-mass field equations in a self-dual Yang-Mills background on a self-dual space X, and the sheaf cohomology groups H 1 ( Z, OF ( n )), for n ≤ -2of its twistor space Z . The case n = - 2 is fundamental for the construction of instantons on Euclidean space. It is further shown how H 1 ( Z, OF (-1)) corresponds to solutions of the self-dual Dirac equation, and an interpretation for H 1 ( Z, OF ( n )), for n ≥ 0, is given in terms of the cohomology of an elliptic complex on X .
1993 ◽
Vol 441
(1911)
◽
pp. 191-200
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Keyword(s):
1981 ◽
Vol 78
(4)
◽
pp. 567-600
◽
1958 ◽
Vol 54
(1)
◽
pp. 72-80
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1966 ◽
Vol 294
(1439)
◽
pp. 437-448
◽
Keyword(s):
1948 ◽
Vol 192
(1029)
◽
pp. 195-218
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Keyword(s):
2007 ◽
Vol 16
(06)
◽
pp. 1027-1041
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Keyword(s):