Riemann-Roch theorem and Lie algebra cohomology
Feigin, B. L., Tsygan, B. L.
Similarity:
Displaying similar documents to “Cohomology of Lie groups made discrete.”
Riemann-Roch theorem and Lie algebra cohomology
Motivic cohomology with -coefficients
Vladimir Voevodsky (2003)
Publications Mathématiques de l'IHÉS
Similarity:
Leibniz cohomology for differentiable manifolds
Jerry M. Lodder (1998)
Annales de l'institut Fourier
Similarity:
We propose a definition of Leibniz cohomology, , for differentiable manifolds. Then becomes a non-commutative version of Gelfand-Fuks cohomology. The calculations of reduce to those of formal vector fields, and can be identified with certain invariants of foliations.
Families of jacobian manifolds and characteristic classes of surface bundles. I
Shigeyuki Morita (1989)
Annales de l'institut Fourier
Similarity:
In our previous work we have defined the notion of characteristic classes of , which are differentiable fibre bundles whose fibres are closed oriented surfaces. In this paper we derive new relations between these characteristic classes by considering a canonical embedding of a given surface bundle with cross section to its associated family of Jacobian manifolds. As a key technical step we determine the first cohomology group of the mapping class group of oriented surfaces with coefficients...
Motivic complexes of Suslin and Voevodsky
Eric M. Friedlander (1996-1997)
Séminaire Bourbaki
Similarity:
Nondegenerate cohomology pairing for transitive Lie algebroids, characterization
Jan Kubarski, Alexandr Mishchenko (2004)
Open Mathematics
Similarity:
The Evens-Lu-Weinstein representation (Q A, D) for a Lie algebroid A on a manifold M is studied in the transitive case. To consider at the same time non-oriented manifolds as well, this representation is slightly modified to (Q Aor, Dor) by tensoring by orientation flat line bundle, Q Aor=QA⊗or (M) and D or=D⊗∂Aor. It is shown that the induced cohomology pairing is nondegenerate and that the representation (Q Aor, Dor) is the unique (up to isomorphy) line representation for which the...