Arc complexes, sphere complexes, and Goeritz groups
Arc complexes, sphere complexes, and Goeritz groups
We show that if a Heegaard splitting is obtained by gluing a splitting of Hempel distance at least 4 and the genus-1 splitting of S 2 ×S 1 , then the Goeritz group of the splitting is finitely generated.To show this, we first provide a sufficient condition for a full …