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Proceedings of the American Mathematical Society

Published by the American Mathematical Society, the Proceedings of the American Mathematical Society (PROC) is devoted to research articles of the highest quality 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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Realization of the mapping class group of handlebody by diffeomorphisms
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by Susumu Hirose PDF
Proc. Amer. Math. Soc. 138 (2010), 4157-4159 Request permission

Abstract:

For the oriented 3-dimensional handlebody constructed from a 3-ball by attaching $g$ 1-handles, it is shown that the natural surjection from the group of orientation-preserving diffeomorphisms of it to the mapping class group of it has no section when $g$ is at least 6.
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Additional Information
  • Susumu Hirose
  • Affiliation: Department of Mathematics, Graduate School of Science and Engineering, Saga University, Saga, 840–8502 Japan
  • MR Author ID: 321110
  • Email: hirose@ms.saga-u.ac.jp
  • Received by editor(s): September 10, 2009
  • Received by editor(s) in revised form: February 5, 2010
  • Published electronically: May 27, 2010
  • Additional Notes: This research was supported by Grant-in-Aid for Scientific Research (C) (No. 20540083), Japan Society for the Promotion of Science.
  • Communicated by: Daniel Ruberman
  • © Copyright 2010 American Mathematical Society
    The copyright for this article reverts to public domain 28 years after publication.
  • Journal: Proc. Amer. Math. Soc. 138 (2010), 4157-4159
  • MSC (2010): Primary 57M60, 57N10
  • DOI: https://doi.org/10.1090/S0002-9939-2010-10432-X
  • MathSciNet review: 2679638