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Proceedings of the American Mathematical Society

Published by the American Mathematical Society since 1950, Proceedings of the American Mathematical Society is devoted to shorter research articles in all areas of pure and applied mathematics.

ISSN 1088-6826 (online) ISSN 0002-9939 (print)

The 2020 MCQ for Proceedings of the American Mathematical Society is 0.85.

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The homology of surface diffeomorphism groups and a question of Morita
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by Jonathan Bowden PDF
Proc. Amer. Math. Soc. 140 (2012), 2543-2549 Request permission

Abstract:

We answer a question posed by Morita concerning the non-trivial- ity of certain secondary characteristic classes for surface bundles. In doing so we are naturally led to show that a form of Harer stability holds for surface diffeomorphism groups in homology of small degree.
References
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Additional Information
  • Jonathan Bowden
  • Affiliation: Mathematisches Institut, Ludwig-Maximilians-Universität, Theresienstr. 39, 80333 München, Germany
  • Address at time of publication: Mathematisches Institut, Universität Augsburg, Universitätsstr. 14, 86159 Augsburg, Germany
  • MR Author ID: 873123
  • Email: jonathan.bowden@mathematik.uni-muenchen.de
  • Received by editor(s): February 18, 2011
  • Published electronically: November 4, 2011
  • Communicated by: Daniel Ruberman
  • © Copyright 2011 American Mathematical Society
    The copyright for this article reverts to public domain 28 years after publication.
  • Journal: Proc. Amer. Math. Soc. 140 (2012), 2543-2549
  • MSC (2010): Primary 57R30, 57R50; Secondary 57R32
  • DOI: https://doi.org/10.1090/S0002-9939-2011-11259-0
  • MathSciNet review: 2898716