Module derivations and cohomological splitting of adjoint bundles

Akira Kono; Katsuhiko Kuribayashi

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Characteristic classes for $A$ -bundles

Cap, Andreas, Schichl, Hermann

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The authors generalize a construction of Connes by defining for an $A$ -bundle $E$ over smooth manifold $X$ and a reduced cyclic cohomology class $c$ a sequence of de Rham cohomology classes $c h_{c}^{k} (E)$ . Here $A$ is a convenient algebra, defined by the authors, and $E$ is a locally trivial bundle with standard fibre a right finitely generated projective $A$ -module and bounded $A$ -modules homomorphisms as transition functions.

Line bundles with $c_{1} {(L)}^{2} = 0$ . Higher order obstruction

Stefano De Michelis (1991)

Atti della Accademia Nazionale dei Lincei. Classe di Scienze Fisiche, Matematiche e Naturali. Rendiconti Lincei. Matematica e Applicazioni

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We study secondary obstructions to representing a line bundle as the pull-back of a line bundle on $S^{2}$ and we interpret them geometrically.

Families of jacobian manifolds and characteristic classes of surface bundles. I

Shigeyuki Morita (1989)

Annales de l'institut Fourier

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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...

Cohomology and connection on $S 1$ -bundles

Gross, Christian

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Displaying similar documents to “Module derivations and cohomological splitting of adjoint bundles”

Characteristic classes for A -bundles

Line bundles with c 1 ⁢ L 2 = 0 . Higher order obstruction

Families of jacobian manifolds and characteristic classes of surface bundles. I

Cohomology and connection on S 1 -bundles

Characteristic classes for $A$ -bundles

Line bundles with $c_{1} {(L)}^{2} = 0$ . Higher order obstruction

Cohomology and connection on $S 1$ -bundles