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Powell's conjecture on the Goeritz group of $S^3$ is stably true

Martin Scharlemann

Algebraic & Geometric Topology 25 (2025) 3775–3787
Bibliography
1 B Farb, D Margalit, A primer on mapping class groups, 49, Princeton Univ. Press (2012) MR2850125
2 M Freedman, M Scharlemann, Powell moves and the Goeritz group, preprint (2018) arXiv:1804.05909
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5 J W Milnor, Topology from the differentiable viewpoint, Princeton Univ. Press (1997) MR1487640
6 J Powell, Homeomorphisms of S3 leaving a Heegaard surface invariant, Trans. Amer. Math. Soc. 257 (1980) 193 MR549161
7 M Scharlemann, One Powell generator is redundant, Proc. Amer. Math. Soc. Ser. B 7 (2020) 138 MR4165895
8 M Scharlemann, Powell’s conjecture on the Goeritz group of S3 is stably true, preprint (2022) arXiv:2210.13629v2
9 M Scharlemann, Generating the Goeritz group of S3, J. Assoc. Math. Res. 2 (2024) 209 MR4863334
10 F Waldhausen, Heegaard–Zerlegungen der 3-Sphäre, Topology 7 (1968) 195 MR227992