Realization of the mapping class group of handlebody by diffeomorphisms

Hirose, Susumu

doi:10.1090/S0002-9939-2010-10432-X

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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