Realization of the mapping class group of handlebody by diffeomorphisms

Details Realization of the mapping class group of handlebody by diffeomorphisms Realization of the mapping class group of handlebody by diffeomorphisms

2009-01-15

arxiv.org/abs/0901.2178v1

Mathematics

Geometric Topology

3 pages

Scientific paper

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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