Finite presentations of the mapping class groups of once-stabilized Heegaard splittings

DOI10.2140/agt.2024.24.3621MaRDI QIDQ6657449

Daiki Iguchi

Publication date: 6 January 2025

Published in: Algebraic \& Geometric Topology (Search for Journal in Brave)

zbMATH Keywords

mapping class groupHeegaard splitting3-manifoldspace of Heegaard splitting

Mathematics Subject Classification ID

Group actions on manifolds and cell complexes in low dimensions (57M60) General topology of 3-manifolds (57K30)

Cites Work

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• A proof of the Smale conjecture, \(Diff(S^ 3)\simeq O(4)\)
• Homeomorphisms of sufficiently large \(P^2\)-irreducible 3-manifolds
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• Singularities of differentiable maps
• A fibre bundle description of Teichmüller theory
• The space of Heegaard splittings
• Generating the genus g+1 Goeritz group of a genus g handlebody
• Bounding the stable genera of Heegaard splittings from below
• Diffeomorphisms of the 2-Sphere
• Homotopy Motions of Surfaces in 3-Manifolds
• 3-manifolds as viewed from the curve complex

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