Sufficient Conditions for Amalgamated 3-Manifolds to be ∂-Irreducible
Bing Fang , Fengchun Lei , Liang Liang
Chinese Annals of Mathematics, Series B ›› 2024, Vol. 45 ›› Issue (2) : 161 -172.
Sufficient Conditions for Amalgamated 3-Manifolds to be ∂-Irreducible
In this paper, the authors give some sufficient conditions for an amalgamated 3-manifold along a compact connected surface F with boundary to be ∂-irreducible in terms of distances between some kinds of vertex subsets of the curve complex and the arc complex of F.
∂-Irreducibility / Irreducibility / Amalgamated 3-manifold / Curve complex / Arc complex
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