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

作者：Koda Yuya^*

来源：Mathematical Proceedings of the Cambridge Philosophical Society, 2015, 159(1): 1-22.

DOI：10.1017/S0305004114000723

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.

• 出版日期2015-7