Differential invariants and curved Bernstein-Gelfand-Gelfand sequences

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dc.creatorCalderbank, David M. J.
dc.creatorDiemer, Tammo
dc.date2000-01-27
dc.date2000-02-15
dc.date.accessioned2026-07-07T04:33:27Z
dc.date.available2026-07-07T04:33:27Z
dc.descriptionWe give a simple construction of the Bernstein-Gelfand-Gelfand sequences of natural differential operators on a manifold equipped with a parabolic geometry. This method permits us to define the additional structure of a bilinear differential cup product on this sequence, satisfying a Leibniz rule up to curvature terms. It is not associative, but is part of an A-infinity algebra of multilinear differential operators, which we also obtain explicitly. We illustrate the construction in the case of conformal differential geometry, where the cup product provides a wide-reaching generalization of helicity raising and lowering for conformally invariant field equations.
dc.descriptionAMS-LaTeX 31 pages; improved proof of A-infinity stuff; references added; corrected deformation theory discussion
dc.identifierhttps://arxiv.org/abs/math/0001158
dc.identifierhttp://arxiv.org/abs/math/0001158
dc.identifierJ.Reine Angew.Math. 537 (2001) 67-103
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/58580
dc.subjectDifferential Geometry
dc.subjectMathematical Physics
dc.subjectRepresentation Theory
dc.subject53A55 (Primary); 16E45, 17B55, 53A30, 53C15, 53C28, 58A32 (Secondary)
dc.titleDifferential invariants and curved Bernstein-Gelfand-Gelfand sequences
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