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Finite presentations of
the mapping class groups of once-stabilized Heegaard
splittings
Daiki Iguchi |
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Algebraic & Geometric Topology 24 (2024) 3621–3639
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Abstract |
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Let and assume that we are given a genus Heegaard splitting of a closed orientable –manifold with distance greater than . We prove that the mapping class group of the once-stabilization of such a Heegaard splitting is finitely presented. |
Keywords
3–manifold, mapping class group, Heegaard splitting, space
of Heegaard splitting
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Mathematical Subject Classification
Primary: 57K30, 57M60
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References |
Publication
Received: 4 April 2022
Revised: 8 January 2023
Accepted: 1 February 2023
Published: 9 December 2024
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Authors |
| Daiki Iguchi | |
| Higashihiroshima Japan |
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| © 2024 MSP (Mathematical Sciences Publishers). Distributed under the Creative Commons Attribution License 4.0 (CC BY). |
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