HOMOGENEOUS SPACES OF INFINITE-DIMENSIONAL LIE ALGEBRAS AND CHARACTERISTIC CLASSES OF FOLIATIONS
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Publication:4778078
DOI10.1070/rm1973v028n04ABEH001597zbMath0289.57011OpenAlexW2091069337MaRDI QIDQ4778078
B. I. Rozenfel'd, Joseph Bernstein
Publication date: 1973
Published in: Russian Mathematical Surveys (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1070/rm1973v028n04abeh001597
Differential geometry of homogeneous manifolds (53C30) Characteristic classes and numbers in differential topology (57R20) Infinite-dimensional Lie groups and their Lie algebras: general properties (22E65) Foliations in differential topology; geometric theory (57R30)
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On a new differential geometric setting in nonlinear control ⋮ LOSIK CLASSES FOR CODIMENSION-ONE FOLIATIONS ⋮ Well-posedness of the Kadomtsev-Petviashvili hierarchy, Mulase factorization, and Frölicher Lie groups ⋮ A new construction of characteristic classes of foliations ⋮ The profinite dimensional manifold structure of formal solution spaces of formally integrable PDEs ⋮ On the cohomology of vector fields on parallelizable manifolds ⋮ One-dimensional Chern-Simons theory and the \(\widehat{A}\) genus ⋮ Quantum black holes, elliptic genera and spectral partition functions ⋮ Continuous cohomologies of Lie algebras of formal G-invariant vector fields and obstructions to lifting foliations ⋮ Bäcklund equations on Kac-Moody-Lie algebras and integrable systems
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