Automorphisms of the 3-sphere that preserve spatial graphs and handlebody-knots

Details Automorphisms of the 3-sphere that preserve spatial graphs and handlebody-knots Automorphisms of the 3-sphere that preserve spatial graphs and handlebody-knots

2011-06-23

arxiv.org/abs/1106.4777v1

Mathematics

Geometric Topology

22 pages, 11 figures

Scientific paper

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 handlebody-knots are finite.

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