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 S3. There are two proofs: one using purely classical techniques and one using thin position.
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