English

Realization of the mapping class group of handlebody by diffeomorphisms

Geometric Topology 2009-01-16 v1

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.

Keywords

Cite

@article{arxiv.0901.2178,
  title  = {Realization of the mapping class group of handlebody by diffeomorphisms},
  author = {Susumu Hirose},
  journal= {arXiv preprint arXiv:0901.2178},
  year   = {2009}
}

Comments

3 pages

R2 v1 2026-06-21T12:01:06.181Z