Sufficient Conditions for Amalgamated 3-Manifolds to be ∂-Irreducible∗

Citation:

Bing FANG,Fengchun LEI,Liang LIANG.Sufficient Conditions for Amalgamated 3-Manifolds to be ∂-Irreducible∗[J].Chinese Annals of Mathematics B,2024,45(2):161~172
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Authors:

Bing FANG; Fengchun LEI;Liang LIANG

Foundation:

This work was supported by the National Natural Science Foundation of China (No. 12071051)
Abstract: 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.

Keywords:

∂-Irreducibility, Irreducibility, Amalgamated 3-manifold, Curve complex, Arc complex

Classification:

17B40, 17B50
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