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

Shigeyuki Morita

Annales de l'institut Fourier (1989)

  • Volume: 39, Issue: 3, page 777-810
  • ISSN: 0373-0956

Abstract

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In our previous work we have defined the notion of characteristic classes of surface bundles, 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 homology of the surface. This might have an independent meaning.

How to cite

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Morita, Shigeyuki. "Families of jacobian manifolds and characteristic classes of surface bundles. I." Annales de l'institut Fourier 39.3 (1989): 777-810. <http://eudml.org/doc/74852>.

@article{Morita1989,
abstract = {In our previous work we have defined the notion of characteristic classes of surface bundles, 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 homology of the surface. This might have an independent meaning.},
author = {Morita, Shigeyuki},
journal = {Annales de l'institut Fourier},
keywords = {relations between characteristic classes; characteristic classes of surface bundles; family of Jacobian manifolds; homology groups of the mapping class groups of orientable surfaces},
language = {eng},
number = {3},
pages = {777-810},
publisher = {Association des Annales de l'Institut Fourier},
title = {Families of jacobian manifolds and characteristic classes of surface bundles. I},
url = {http://eudml.org/doc/74852},
volume = {39},
year = {1989},
}

TY - JOUR
AU - Morita, Shigeyuki
TI - Families of jacobian manifolds and characteristic classes of surface bundles. I
JO - Annales de l'institut Fourier
PY - 1989
PB - Association des Annales de l'Institut Fourier
VL - 39
IS - 3
SP - 777
EP - 810
AB - In our previous work we have defined the notion of characteristic classes of surface bundles, 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 homology of the surface. This might have an independent meaning.
LA - eng
KW - relations between characteristic classes; characteristic classes of surface bundles; family of Jacobian manifolds; homology groups of the mapping class groups of orientable surfaces
UR - http://eudml.org/doc/74852
ER -

References

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