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Transactions of the American Mathematical Society
Transactions of the American Mathematical Society
ISSN 1088-6850(online) ISSN 0002-9947(print)

 

Relative cohomology and projective twistor diagrams


Authors: S. A. Huggett and M. A. Singer
Journal: Trans. Amer. Math. Soc. 324 (1991), 41-57
MSC: Primary 32L10; Secondary 32L25, 81R25, 81U20
MathSciNet review: 991962
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Abstract: The use of relative cohomology in the investigation of functionals on tensor products of twistor cohomology groups is considered and yields a significant reduction in the problem of looking for contours for the evaluation of (projective) twistor diagrams. The method is applied to some simple twistor diagrams and is used to show that the standard twistor kernel for the first order massless scalar $ {\phi^4}$ vertex admits a (cohomological) contour for only one of the physical channels. A new kernel is constructed for the $ {\phi^4}$ vertex which admits contours for all channels.


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DOI: http://dx.doi.org/10.1090/S0002-9947-1991-0991962-1
PII: S 0002-9947(1991)0991962-1
Article copyright: © Copyright 1991 American Mathematical Society