Generating the genus g+1 Goeritz group of a genus g handlebody

Details Generating the genus g+1 Goeritz group of a genus g handlebody Generating the genus g+1 Goeritz group of a genus g handlebody

2011-08-23

arxiv.org/abs/1108.4671v1

Mathematics

Geometric Topology

27 pages, 8 figures

Scientific paper

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 S^3. There are two proofs: one using purely classical
techniques and one using thin position.

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