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Cohomologies of the Lie algebra of formal vector fields with coefficients in its adjoint space and variations of characteristic classes of foliations

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Publication:1214697
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DOI10.1007/BF01078594zbMath0298.57011OpenAlexW1996284063WikidataQ115394269 ScholiaQ115394269MaRDI QIDQ1214697

Dmitry Fuchs, Israel M. Gel'fand, Boris L. Feigin

Publication date: 1974

Published in: Functional Analysis and its Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf01078594


Mathematics Subject Classification ID

Lie algebras of vector fields and related (super) algebras (17B66) Characteristic classes and numbers in differential topology (57R20) Cohomology of Lie (super)algebras (17B56) Foliations in differential topology; geometric theory (57R30)


Related Items

Hopf-cyclic cohomology of the Connes-Moscovici Hopf algebras with infinite dimensional coefficients, Hilbert modular forms for the field \(\mathbb Q(\sqrt 6 )\), Unnamed Item, Cohomologies of Lie algebras of formal vector fields preserving a foliation



Cites Work

  • Unnamed Item
  • Unnamed Item
  • Deformations of secondary characteristic classes
  • On the Chern-Weil homomorphism and the continuous cohomology of Lie- groups
  • Cohomology of Lie algebras
  • On characteristic classes of $\Gamma $-foliations
  • Noncobordant foliations of 𝑆³
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