The conformal deformation detour complex for the obstruction tensor

DOI10.1090/S0002-9939-07-08932-0zbMath1126.53023arXivmath/0605192OpenAlexW2006273723WikidataQ126260797 ScholiaQ126260797MaRDI QIDQ5291943

A. Rod Gover, Thomas P. Branson

Publication date: 19 June 2007

Published in: Proceedings of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/math/0605192

zbMATH Keywords

generalised Bernstein-Gelfand-Gelfand complexes

Mathematics Subject Classification ID

Related Items (6)

An interesting family of conformally invariant one-forms in even dimensions ⋮ Yang-Mills detour complexes and conformal geometry ⋮ Origins, applications and generalisations of the \(Q\)-curvature ⋮ Conformally covariant operators and conformal invariants on weighted graphs ⋮ Metric projective geometry, BGG detour complexes and partially massless gauge theories ⋮ GJMS operators, \(Q\)-curvature, and obstruction tensor of partially integrable CR manifolds

Cites Work

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• Subcomplexes in curved BGG-sequences
• The ambient obstruction tensor and the conformal deformation complex
• Déformations infinitésimales des structures conformes plates. (Infinitesimal deformations of conformally flat structures)
• Semiholonomic Verma modules
• Standard tractors and the conformal ambient metric construction
• A comparison theory for the structure of induced representations. II
• Differential invariants and curved Bernstein-Gelfand-Gelfand sequences
• PONTRJAGIN FORMS AND INVARIANT OBJECTS RELATED TO THE Q-CURVATURE
• Sharp Inequalities, the Functional Determinant, and the Complementary Series
• Conformally Invariant Operators, Differential Forms, Cohomology and a Generalisation of Q-Curvature
• Bernstein-Gelfand-Gelfand sequences

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