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Realization of the mapping class group of handlebody by diffeomorphisms
Author(s):
Susumu
Hirose
Journal:
Proc. Amer. Math. Soc.
138
(2010),
4157-4159.
MSC (2010):
Primary 57M60, 57N10
Posted:
May 27, 2010
MathSciNet review:
2679638
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Abstract:
For the oriented 3-dimensional handlebody constructed from a 3-ball by attaching  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  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
Email:
hirose@ms.saga-u.ac.jp
DOI:
10.1090/S0002-9939-2010-10432-X
PII:
S 0002-9939(2010)10432-X
Received by editor(s):
September 10, 2009
Received by editor(s) in revised form:
February 5, 2010
Posted:
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 of article:
Copyright
2010,
American Mathematical Society
The copyright for this article reverts to public domain after 28 years from publication.
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