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

Sangbum Cho

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

Sangbum Cho

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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 ${\mathcal H}$.

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BibTeX RIS

Sangbum Cho. 2007-04-19. Homeomorphisms of the 3-sphere that preserve a Heegaard splitting of genus two. https://arxiv.org/abs/math/0611767

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