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- W1736778927 abstract "Let (V,W;F) be a weakly reducible, unstabilized, genus three Heegaard splitting in an orientable, irreducible 3-manifold M and DVW(F) the subset of the disk complex D(F) consisting of simplices having at least one vertex from V and at least one vertex from W. In this article, we describe the shape of DVW(F) and prove that there is a function from the components of DVW(F) to the isotopy classes of the generalized Heegaard splittings obtained by weak reductions from (V,W;F), where this function describes how the thick levels are embedded in the relevant compression bodies." @default.
- W1736778927 created "2016-06-24" @default.
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- W1736778927 date "2014-12-06" @default.
- W1736778927 modified "2023-09-25" @default.
- W1736778927 title "On the disk complexes of weakly reducible, unstabilized Heegaard splittings of genus three I - the Structure Theorem" @default.
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- W1736778927 doi "https://doi.org/10.48550/arxiv.1412.2228" @default.
- W1736778927 hasPublicationYear "2014" @default.
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