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Genus three Goeritz
groups of connected sums of two lens spaces
Hao Chen and Yanqing Zou |
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Vol. 338 (2025), No. 2, 231–249
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Abstract |
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We prove that the mapping class groups of the genus three Heegaard splittings of the connected sums of two lens spaces are finitely generated, and the corresponding reducing sphere complexes are all connected. |
Keywords
reducing sphere complex, Goeritz group, Heegaard splitting
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Mathematical Subject Classification
Primary: 57K30, 57K31
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Milestones
Received: 25 December 2024
Revised: 1 August 2025
Accepted: 2 August 2025
Published: 24 August 2025
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Authors |
| Hao Chen | |
| School of Mathematical
Sciences East China Normal University Shanghai China |
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| Yanqing Zou | |
| School of Mathematical
Sciences Key Laboratory of MEA (Ministry of Education) and Shanghai Key Laboratory of PMMP East China Normal University Shanghai China |
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| © 2025 MSP (Mathematical Sciences Publishers). Distributed under the Creative Commons Attribution License 4.0 (CC BY). |
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