A topologically minimal, weakly reducible, unstabilized Heegaard splitting of genus three is critical

DOI10.2140/AGT.2016.16.1427zbMath1362.57027arXiv1402.4253OpenAlexW3104884625MaRDI QIDQ2630671

Jung Soo Kim

Publication date: 20 July 2016

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

Full work available at URL: https://arxiv.org/abs/1402.4253

zbMATH Keywords

3-manifoldsHeegaard splittingsweakly reducible

Mathematics Subject Classification ID

General geometric structures on low-dimensional manifolds (57M50)

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A note on bicompressible surface and unstabilized amalgamated Heegaard splitting ⋮ On the group action of \(Mod(M,F)\) on the disk complex ⋮ Generalized Heegaard splittings and the disk complex ⋮ On unstabilized Heegaard splittings of amalgamated 3-manifolds ⋮ Critical bridge spheres for links with arbitrarily many bridges ⋮ A topologically minimal canonical Heegaard splitting of a surface bundle is critical

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