A PRESENTATION FOR THE AUTOMORPHISMS OF THE 3-SPHERE THAT PRESERVE A GENUS TWO HEEGAARD SPLITTING
By E. Akbas. 2005
56 citations recorded by the source corpus.
Scharlemann constructed a connected simplicial 2-complex $\Gamma$ with an action by the group ${\mathcal H_{2}}$ of isotopy classes of orientation preserving homeomorphisms of $S^3$ that preserve the isotopy class of an unknotted genus 2 handlebody $V$. In this paper we prove that the 2-complex $\Gamma$ is contractible. Therefore we get a finite presentation of ${\mathcal H_{2}}$.
Subfields: Geometry and Topology, Mathematical Physics
View Paper: https://www.semanticscholar.org/paper/6c53d43a400c289fdfb195d307e95b34fc24eace
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In Geometry and Topology
In Mathematical Physics
Citations in the corpus
- Homeomorphisms of the 3-sphere that preserve a Heegaard splitting of genus two (2006, methodology): “For details about Γ and Γ̃, we refer the reader to [7] and [1].”