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Twistor diagrams and the algebraic de Rham theorem

Part of: Holomorphic fiber spaces Homology and cohomology theories

Published online by Cambridge University Press:  09 April 2009

Richard Jozsa  and
John Rice
Richard Jozsa
Affiliation:
School of Information Science and TechnologyThe Flinders University of South AustraliaG.P.O. BOX 2100 Adelaide SA 5001, Australia
John Rice
Affiliation:
School of Information Science and TechnologyThe Flinders University of South AustraliaG.P.O. BOX 2100 Adelaide SA 5001, Australia
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Abstract

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A method for computing the number of contours for a twistor diagram, using Grothendieck's algebraic de Rham theorem, is described and some examples are given.

MSC classification

Secondary: 32L25: Twistor theory, double fibrations 32L10: Sheaves and cohomology of sections of holomorphic vector bundles, general results 55N30: Sheaf cohomology
Type
Research Article
Information
Journal of the Australian Mathematical Society , Volume 54 , Issue 2 , April 1993 , pp. 221 - 235
Copyright
Copyright © Australian Mathematical Society 1993

References

[1]Eastwood, M. G., ‘Some comments on the topology of twistor diagrams’, Twistor Newsletter 14 (1982).Google Scholar
[2]Eastwood, M. G., Penrose, R. and Wells, R. O. Jr, ‘Cohomology and massless fields’, Comm. Math. Phys. 78 (1981) 305–351.CrossRefGoogle Scholar
[3]Ginsberg, M. L., ‘Scattering theory and the geometry of multi-twistor spaces’, Trans. Amer. Math. Soc. 276 (1983) 789–815.Google Scholar
[4]Ginsberg, M. L., A cohomological approach to scattering theory (D. Phil. thesis, Oxford University, 1980).Google Scholar
[5]Griffiths, P. and Hams, J., Principles of algebraic geometry (John Wiley and Sons, New York 1978).Google Scholar
[6]Hodges, A. P., ‘Twistor Diagrams’, Physica 114A (1982) 157–175.CrossRefGoogle Scholar
[7]Hodges, A. P., ‘Twistor diagrams and massless Moller scattering’, Proc. Royal Soc. London A385 (1983) 207–228.Google Scholar
[8]Huggett, S. A. and Singer, M. A., ‘Relative cohomology and projective twistor diagrams’, preprint, Mathematical Institute, Oxford, 1988.Google Scholar
[9]Huggett, S. A., Sheaf cohomology in twistor diagrams (D. Phil. thesis, Oxford University, 1980).Google Scholar
[10]Penrose, R. and Rindler, W., Spinors and spacetime, vol. 2 (Cambridge University Press, Cambridge, 1986).CrossRefGoogle Scholar
[11]Penrose, R., ‘Twistor theory, its aims and achievements’, in Quantum Gravity, and Oxford Symposium (eds. Isham, C. J., Penrose, R. and Sciama, D. W.) (Oxford University Press, Oxford, 1975).Google Scholar
[12]Sparling, G. A. J., ‘Homology and twistor theory’, in Quantum Gravity, and Oxford Symposium (eds. Isham, C. J., Penrose, R. and Sciama, D. W.) (Oxford University Press, Oxford 1975).Google Scholar