By L. P. Hughston, R. S. Ward

ISBN-10: 082248448X

ISBN-13: 9780822484486

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1979. Masr-;Zess FieZds. CohomoZogy {Ifld To be published. Hitchin, N. 1979. qual,ions on Self-TJual Spaces. To be published. H. 1979. On the Atiyah-Singer Vanishing '/'heorem for Certain Cohomology Groups of InstantDn Bundles. f\1ath. Ann. 241, 43-56. O. 1979. Complex ManifoZds and Mathematical Physics. To appear in Bulletin of the American Mathematical Society. 4. S. Ward There is a way of deriving massless fields from twistor functions without explicitly using contour integration. J. :B, TI B I -1 C' ) g(sA') ~CI dt;; (1) f.

Holt, Rinehart & Winston. ~ .. • , • ... J. Isham. R. \-1. Sciama , pp. 268- 407. Clarendon: Oxford . Penrose. R. ,:' 7 '",'':(! {l';':;" '::;><1:: Weizslicker. pp . 129-145 . Prent ice - Ha 11. 36 eds. In: L Castell, -:0;" '. t, Or'ieschner & C. F. von §2 . 3. 1. J . Wooditoul3e that zero·re st ·mass fields on '~inkO\"lski equivalence classes of I-forms on twist~r show hO,"1 one can go directly from these time fields, and back again. space can be represented by space . ed on some ideas introduced by Rawnsiey (1979); Hitchin (1979); and Eastwood, PenrOse & h'ells (1979).

E): Charge integrality in the "twisted photon" We have (Narrow & Kodaira 1971) the exact sequence o -. , O. where 0* refers to non - zel'o holomorphic functions taken multipl icatively, (rom which we derive the long exact sequence: 1 r •• ' AB= O 71 Al1 a f b. "twisted j photon" ordinary integer 1 s t cononlO 109Y Choose X as a I"e9ion in PT I ol'dinary integer 2nd cohomology correspondin<;l to a small space-time tube surrounding 11 cha r ge world - l ine. , 52 x R2. l) = O. Zl '" l e Z. Thus the space Hl(X,o w) effectively conta in s H1(X, O).

### Advances in Twistor Theory by L. P. Hughston, R. S. Ward

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