Cascade Topology Seminar
Title: Generating the genus g+1 Goeritz group of a genus g handlebody
Abstract: A specific set of 4g+1 elements is shown to generate the Goeritz group of the genus g+1 Heegaard splitting of a genus g handlebody. These generators are consistent with Powell's proposed generating set for the Goeritz group of the genus g+1 splitting of the 3-sphre. There are two proofs: one using purely classical techniques and one using thin position. I hope to be able to at least sketch both proofs.