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Strongly irreducible self-amalgamation of a handlebody

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Publication:2080975
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DOI10.1007/s10473-022-0608-8OpenAlexW4293558654MaRDI QIDQ2080975

Li-Yuan Ma, Liang Liang, Feng Chun Lei

Publication date: 12 October 2022

Published in: Acta Mathematica Scientia. Series B. (English Edition) (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10473-022-0608-8

zbMATH Keywords

Heegaard splittingself-amalgamationstrongly irreducble


Mathematics Subject Classification ID

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




Cites Work

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  • The amalgamation of high distance Heegaard splittings is always efficient
  • Connected sums of unstabilized Heegaard splittings are unstabilized
  • The self-amalgamation of high distance Heegaard splittings is always efficient
  • Heegaard surfaces and the distance of amalgamation
  • A proof of the Gordon conjecture
  • Amalgamations of Heegaard splittings in 3-manifolds without some essential surfaces
  • Geometry of the complex of curves. I: Hyperbolicity
  • Unstabilized self-amalgamation of a Heegaard splitting
  • The Heegaard genus of amalgamated 3-manifolds
  • Separating incompressible surfaces and stabilizations of Heegaard splittings
  • The Classification of Heegaard Splittings for (Compact Orient Able Surface) × S1
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