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

Abstract

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 $\mathcal{H}$.

References in corpus (1)

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

Cited by in corpus (1)

• Automorphisms of the three-torus preserving a genus three Heegaard splitting