Generating the Goeritz group of S^3
In1980, Powell proposed that five specific elements sufficed to generate the Goeritz group for any genus Heegaard splitting of S^3. Here we prove that a natural expansion of Powell’s proposed generators, to include all eyeglass twists and all topological conjugates of Powell’s generators, does suffice.
Authors
- Martin Scharlemann
Institutions
- University of California, Santa Barbara (US)
Publication Details
- Journal
- Journal of the Association for Mathematical Research.
- Published
- 2024-08-21
- DOI
- https://doi.org/10.56994/jamr.002.002.002
- Primary Topic
- Geometric and Algebraic Topology
- Type
- article
- Field-Weighted Citation Impact
- 0.00