Continuous cohomologies of Lie algebras of formal G-invariant vector fields and obstructions to lifting foliations

DOI10.2977/prims/1195181612zbMath0572.17006OpenAlexW1979808170MaRDI QIDQ1062127

Atsumi Hamasaki

Publication date: 1984

Published in: Publications of the Research Institute for Mathematical Sciences, Kyoto University (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.2977/prims/1195181612

zbMATH Keywords

infinite-dimensional Lie algebrascharacteristic classes of foliationsLie algebra of formal vector fieldscontinuous cohomologiesobstructions to lifting foliations

Mathematics Subject Classification ID

Infinite-dimensional Lie (super)algebras (17B65) Infinite-dimensional Lie groups and their Lie algebras: general properties (22E65) Cohomology of classifying spaces for pseudogroup structures (Spencer, Gelfand-Fuks, etc.) (58H10) Cohomology of Lie (super)algebras (17B56) Classifying spaces for foliations; Gelfand-Fuks cohomology (57R32)

Related Items (2)

LOCAL COHOMOLOGY AND THE VARIATIONAL BICOMPLEX ⋮ Cohomologies of Lie algebras of formal vector fields preserving a foliation

Cites Work

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• The cohomology of the vector fields on a manifold
• Cohomology of Lie algebras over a manifold. I
• Cohomology of Lie algebras
• HOMOGENEOUS SPACES OF INFINITE-DIMENSIONAL LIE ALGEBRAS AND CHARACTERISTIC CLASSES OF FOLIATIONS
• Deformation theory of pseudogroup structures
• COHOMOLOGY OF THE LIE ALGEBRA OF FORMAL VECTOR FIELDS
• On characteristic classes of $\Gamma $-foliations

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