The Powell Conjecture for the genus-three Heegaard splitting of the 3-sphere

arxiv（2024）

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摘要

The Powell Conjecture states that four specific elements suffice to generate the Goeritz group of the Heegaard splitting of the 3-sphere. We present an alternative proof of the Powell Conjecture when the genus of the splitting is 3, and suggest a strategy for the case of higher genera.

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