Abstract

Scharlemann constructed a connected simplicial 2-complex Γ with an action by the group H₂ of isotopy classes of orientation-preserving homeomorphisms of S³ that preserve the isotopy class of an unknotted genus 2 handlebody V . In this paper we prove that the 2-complex Γ is contractible. Therefore we get a finite presentation of H₂.

Keywords

Heegaard, genus two handlebody, three-sphere

Mathematical Subject Classification

Primary: 57M60

Secondary: 57M20

Authors