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.References
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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