Realization of the mapping class group of handlebody by diffeomorphisms

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.

3 pages

References in corpus (2)

• Low-dimensional homology groups of mapping class groups: a survey
• The mapping class group cannot be realized by homeomorphisms