%0 Journal Article
%T Automorphisms of the 3-sphere that preserve spatial graphs and handlebody-knots
%A Yuya Koda
%J Mathematics
%D 2011
%I arXiv
%X We consider the group of isotopy classes of automorphisms of the 3-sphere that preserve a spatial graph or a handlebody-knot embedded in it. We prove that the group is finitely presented for an arbitrary spatial graph or a reducible handlebody-knot of genus two. We also prove that the groups for "most" irreducible genus two handlebody-knots are finite.
%U http://arxiv.org/abs/1106.4777v2