Homeomorphisms of the 3-sphere That Preserve a Heegaard Splitting of Genus Two
نویسنده
چکیده
Let H2 be the group of isotopy classes of orientation-preserving homeomorphisms of S 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 H2.
منابع مشابه
Automorphisms of the 3-sphere That Preserve a Genus Two Heegaard Splitting
An updated proof of a 1933 theorem of Goeritz, exhibiting a finite set of generators for the group of automorphisms of S that preserve a genus two Heegaard splitting. The group is analyzed via its action on a certain connected 2-complex.
متن کاملAutomorphisms of the 3-sphere Preserving a Genus Two Heegaard Splitting
We give an updated proof of a 1933 theorem of Goeritz, exhibiting a nite set of generators for the the group of automorphisms of S that preserve a genus two Heegaard splitting.
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تاریخ انتشار 2008