Homeomorphisms of the 3-sphere that preserve a Heegaard splitting of genus two

Details Homeomorphisms of the 3-sphere that preserve a Heegaard splitting of genus two Homeomorphisms of the 3-sphere that preserve a Heegaard splitting of genus two

2006-11-24

arxiv.org/abs/math/0611767v2

Mathematics

Geometric Topology

Scientific paper

Let ${\mathcal H}$ be the group of isotopy classes of orientation preserving
homeomorphisms of $S^3$ that preserve a Heegaard splitting of genus two. In
this paper, we use a tree in the barycentric subdivision of the disk complex of
a handlebody of the splitting to obtain a finite presentation of ${\mathcal
H}$.

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