Automorphisms of the 3-sphere that preserve spatial graphs and handlebody-knots
Geometric Topology
2014-12-10 v2
Abstract
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.
Cite
@article{arxiv.1106.4777,
title = {Automorphisms of the 3-sphere that preserve spatial graphs and handlebody-knots},
author = {Yuya Koda},
journal= {arXiv preprint arXiv:1106.4777},
year = {2014}
}
Comments
23 pages, 11 figures; minor changes, typos corrected; to appear in Mathematical Proceedings of the Cambridge Philosophical Society