Realization of the mapping class group of handlebody by diffeomorphisms

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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.

Original languageEnglish
Pages (from-to)4157-4159
Number of pages3
JournalProceedings of the American Mathematical Society
Volume138
Issue number11
DOIs
Publication statusPublished - 1 Nov 2010

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