Homeomorphisms of the 3-sphere that preserve a Heegaard splitting of genus two期刊界 All Journals 搜尽天下杂志传播学术成果专业期刊搜索期刊信息化学术搜索

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

Authors:	Sangbum Cho

Institution:	Department of Mathematics, University of Oklahoma, Norman, Oklahoma 73019

Abstract:	Let ${\mathcal H_2}$ be the group of isotopy classes of orientation-preserving homeomorphisms of $\mathbb{S}^3$ that preserve a Heegaard splitting of genus two. In this paper, we construct a tree in the barycentric subdivision of the disk complex of a handlebody of the splitting to obtain a finite presentation of ${\mathcal H_2}$ .

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