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- W2084366930 abstract "Let M be a compact orientable 3-manifold, M=V∪SW be a Heegaard splitting of M, and F1, F2 be two homeomorphic components of ∂M lying in the minus boundary of W. Let M⁎ be the manifold obtained from M by gluing F1 and F2 together. Then M⁎ has a natural Heegaard splitting called the self-amalgamation of V∪SW. In this paper, we prove that the self-amalgamation of a distance at least 3 Heegaard splitting is unstabilized. There are some examples to show that the lower bound 3 is the best." @default.
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- W2084366930 date "2013-02-01" @default.
- W2084366930 modified "2023-10-16" @default.
- W2084366930 title "Unstabilized self-amalgamation of a Heegaard splitting" @default.
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- W2084366930 doi "https://doi.org/10.1016/j.topol.2012.11.020" @default.
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