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

Shigeyuki Morita — 1989

Annales de l'institut Fourier

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 in the...

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